{"id":1660,"date":"2022-04-21T10:38:01","date_gmt":"2022-04-21T10:38:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1660"},"modified":"2023-04-17T10:59:06","modified_gmt":"2023-04-17T10:59:06","slug":"perpendicular-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular","title":{"rendered":"Perpendicular Lines \u2013 Definition, Symbol, Properties, Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-d9a3b31f-dc57-4ba4-aec1-d813ee7ea509\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular#0-what-are-perpendicular-lines>What are Perpendicular Lines?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular#3-perpendicular-symbol->Perpendicular Symbol<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular#4-properties-of-perpendicular-lines->Properties of perpendicular lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular#10-solved-examples-on-perpendicular-lines>Solved Examples&nbsp;On Perpendicular Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular#11-practice-problems-on-perpendicular-lines>Practice Problems On Perpendicular Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular#12-frequently-asked-questions-on-perpendicular-lines>Frequently Asked Questions On Perpendicular Lines<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-perpendicular-lines\">What are Perpendicular Lines?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Two distinct&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line\">lines<\/a>&nbsp;intersecting each other at $90^{\\circ}$ or at&nbsp;<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\">a right angle<\/a>&nbsp;are called perpendicular lines.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"300\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-1.png\" alt=\"two perpendicular lines - AB and CD\" class=\"wp-image-23624\" title=\"two perpendicular lines - AB and CD\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-1.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-1-300x132.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, AB is perpendicular to XY because AB and XY intersect each other at $90^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Non-Example:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-2.png\" alt=\"parallel lines\"><\/td><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-3.png\" alt=\"intersecting lines\"><\/td><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-4.png\" alt=\"a line intersecting three parallel lines\"><\/td><\/tr><tr><td>The two lines are parallel and do not intersect each other.&nbsp;<\/td><td>The two lines are intersecting each other at an acute angle. So, they are not perpendicular.<\/td><td>The lines are not intersecting at right angles.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-parallel-and-perpendicular-lines\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_types_of_lines_pt.png\" alt=\"Identify Parallel and Perpendicular Lines Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Parallel and Perpendicular Lines Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-definition-of-perpendicular-lines-\"><strong>Definition of Perpendicular Lines<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\" target=\"_blank\" rel=\"noopener\" title=\"\">geometry<\/a>, perpendicular lines are defined as two lines that meet or intersect each other at right angles $(90^{\\circ})$. The term \u2018perpendicular\u2019 originated from the Latin word \u2018perpendicularis,\u2019 meaning a plumb line.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If two lines AB and CD are perpendicular, then we can write them as AB $\\bot$ CD. The symbol $\\bot$ is used to indicate the lines are perpendicular.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-5.png\" alt=\"Two perpendicular lines: AB and CD\" class=\"wp-image-23633\" width=\"231\" height=\"256\" title=\"Two perpendicular lines: AB and CD\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-perpendicular-lines-around-us-\"><strong>Perpendicular Lines Around Us<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can observe many perpendicular lines in real life.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Some examples are:<\/strong> the sides of a set square, the arms of a clock, the corners of the blackboard, window and the Red Cross symbol.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"533\" height=\"330\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-6.png\" alt=\"Daily life examples of perpendicular lines\" class=\"wp-image-23634\" title=\"Daily life examples of perpendicular lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-6.png 533w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-6-300x186.png 300w\" sizes=\"auto, (max-width: 533px) 100vw, 533px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here are a few more examples!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"271\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-7.png\" alt=\"perpendicular lines around us\" class=\"wp-image-23635\" title=\"perpendicular lines around us\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-7.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-7-300x120.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-perpendicular-symbol-\"><strong>Perpendicular Symbol<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perpendicular lines are represented by the symbol, \u2018$\\bot$\u2019. Suppose, <em>m<\/em> and<em> n <\/em>are two lines intersecting each other at 90 degrees, then they are perpendicular to each other and are represented as <em>m<\/em> $\\bot$ <em>n<\/em>. The point of intersection of perpendicular lines is called the foot of the perpendicular.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-properties-of-perpendicular-lines-\"><strong>Properties of perpendicular lines<\/strong><\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">These lines always intersect at <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">right angles<\/a>.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.&nbsp; For example <em>k <\/em>and <em>l <\/em>are two lines and both are perpendicular to the same line <em>r<\/em>, then lines <em>k <\/em>and <em>l <\/em>are parallel to each other&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"217\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-8.png\" alt=\"two lines perpendicular to the same line\" class=\"wp-image-23636\" title=\"two lines perpendicular to the same line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-8.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-8-300x96.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Adjacent sides of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\" target=\"_blank\" rel=\"noopener\" title=\"\">square<\/a> and a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" target=\"_blank\" rel=\"noopener\" title=\"\">rectangle<\/a> are always perpendicular to each other.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"229\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-9.png\" alt=\"a square and a rectangle\" class=\"wp-image-23637\" title=\"a square and a rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-9.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-9-300x101.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Sides of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">right-angled triangle <\/a>enclosing the right angle are perpendicular to each other.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"344\" height=\"229\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-10.png\" alt=\"a right triangle\" class=\"wp-image-23638\" title=\"a right triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-10.png 344w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-10-300x200.png 300w\" sizes=\"auto, (max-width: 344px) 100vw, 344px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-difference-between-perpendicular-lines-and-parallel-lines-\"><strong>Difference between perpendicular lines and parallel lines<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Perpendicular lines<\/strong><\/td><td><strong>Parallel Lines<\/strong><\/td><\/tr><tr><td>Perpendicular lines are lines that intersect at a 90 degrees angle.<\/td><td><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines\" target=\"_blank\" rel=\"noopener\" title=\"\">Parallel lines<\/a> are lines that are always the same distance apart. Parallel lines never intersect.<\/td><\/tr><tr><td>The symbol used to represent a perpendicular line is \u201c$\\bot$\u201d.<\/td><td>The symbol used to represent a parallel line is \u201c$\\left|\\right|$\u201d.<\/td><\/tr><tr><td>Example:&nbsp;The corner of postcard<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-11.png\" alt=\"Postcard\"><br>The corner of the ruler.<br><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-13.png\" alt=\"Perpendicular lines on a scale\"><\/td><td>Example:Railway tracks<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-12.png\" alt=\"Railway tracks\"><br>Edges of ruler.<br><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-14.png\" alt=\"Parallel lines on a scale\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-construction-of-perpendicular-lines-\"><strong>Construction Of Perpendicular Lines<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can draw perpendicular lines for a given line in two ways.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Using a protractor<\/strong><\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Using a compass<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"7-drawing-a-perpendicular-line-using-protractor-\"><strong>Drawing A Perpendicular Line Using Protractor<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Let <em>m <\/em>be the given line and A the given point on it.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Place the protractor on the line <em>m<\/em> such that its base line coincides with <em>m<\/em>, and its centre falls on A.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> Mark a point B against the 90 degree mark on the protractor.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 4:<\/strong> Draw a line <em>n<\/em> passing through A and B.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Then line <em>m<\/em> $bot$ line <em>n<\/em> at A.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"537\" height=\"351\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-15.png\" alt=\"Drawing perpendicular lines using a compass\" class=\"wp-image-23651\" title=\"Drawing perpendicular lines using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-15.png 537w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-15-300x196.png 300w\" sizes=\"auto, (max-width: 537px) 100vw, 537px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"8-drawing-a-perpendicular-line-at-a-given-point-on-a-line-using-compass-\"><strong>Drawing A Perpendicular Line At A Given Point On A Line Using Compass<\/strong><\/h3>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1<\/strong>: Place a compass tip on the given point A. Take an appropriate radius and draw an arc on either side of the given point.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"681\" height=\"333\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-16.png\" alt=\"step 1 for drawing a perpendicular line using a compass\" class=\"wp-image-23652\" title=\"step 1 for drawing a perpendicular line using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-16.png 681w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-16-300x147.png 300w\" sizes=\"auto, (max-width: 681px) 100vw, 681px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Stretch the compass wider. Place the compass tip on the new points and make a small arc above the given line. The two new arcs will intersect.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"681\" height=\"333\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-17.png\" alt=\"step 2 for drawing a perpendicular line using a compass\" class=\"wp-image-23653\" title=\"step 2 for drawing a perpendicular line using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-17.png 681w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-17-300x147.png 300w\" sizes=\"auto, (max-width: 681px) 100vw, 681px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3<\/strong>: Use the ruler to join the given point A and the point B where the arcs intersect.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"681\" height=\"333\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-18.png\" alt=\"construction of a perpendicular line using a compass\" class=\"wp-image-23654\" title=\"construction of a perpendicular line using a compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-18.png 681w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-18-300x147.png 300w\" sizes=\"auto, (max-width: 681px) 100vw, 681px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-conclusion-\"><strong>Conclusion<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Give your children opportunities to observe perpendicular lines in objects or places around them, such as a tall tree on the ground, an electric pole on the pavement, railway intersection, corner of two adjacent walls, and high buildings.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s solve a few examples for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-solved-examples-on-perpendicular-lines\"><strong>Solved Examples&nbsp;<\/strong>On Perpendicular Lines<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: State whether a given set of lines are perpendicular or parallel.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>(a)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-19.png\" alt=\"\"><\/td><td><strong>(b)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-20.png\" alt=\"\"><\/td><\/tr><tr><td><strong>(c)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-21.png\" alt=\"\"><\/td><td><strong>(d)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-22.png\" alt=\"\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Parallel lines<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Perpendicular lines<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Perpendicular lines<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Parallel lines<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: Write a relation between the line segments indicated by the arrow in each shape.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>(a)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-23.png\" alt=\"\"><\/td><td><strong>(b)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-24.png\" alt=\"\"><\/td><\/tr><tr><td><strong>(c)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-25.png\" alt=\"\"><\/td><td><strong>(d)<\/strong><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-26.png\" alt=\"\"><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">AB $\\bot$ AE<\/li>\n\n\n\n<li class=\" eplus-wrapper\">&nbsp;PQ $\\left|\\right|$ SR<\/li>\n\n\n\n<li class=\" eplus-wrapper\">PQ $\\left|\\right|$ NM<\/li>\n\n\n\n<li class=\" eplus-wrapper\">AB $\\bot$ AD<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: The diagonals of rhombus are perpendicular to each other. How many right angles are formed at the intersection?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"395\" height=\"306\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-27.png\" alt=\"Rhombus ABCD\" class=\"wp-image-23663\" title=\"Rhombus ABCD\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-27.png 395w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-27-300x232.png 300w\" sizes=\"auto, (max-width: 395px) 100vw, 395px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since the lines AC and BD intersect each other at 90 degrees, there are 4 right angles at the intersecting point.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\angle \\text{AED} = \\angle \\text{DEC} = \\angle \\text{CEB} = \\angle \\text{BEA} = 90$ degrees<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 4: Name two dimensional shapes having perpendicular lines.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><br><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-28.png\" alt=\"\"><\/td><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-29.png\" alt=\"\"><\/td><td><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-30.png\" alt=\"\"><\/td><\/tr><tr><td>Rectangle<\/td><td>Right angled triangle<\/td><td>Square<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 5: If AB <\/strong>$\\left|\\right|$<strong> CD and CD <\/strong>$\\left|\\right|$<strong> EF. What can you say about AB and EF?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Line AB is perpendicular to line CD.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Also, line CD is perpendicular to line EF.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two lines are perpendicular to the same line, then the 2 lines are parallel to each other.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, lines AB and EF are parallel to each other.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 6: Are these lines perpendicular?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"122\" height=\"196\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-31.png\" alt=\"intersecting lines\" class=\"wp-image-23667\" title=\"intersecting lines\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">No, these lines are not perpendicular because they do not intersect at right angles.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 7: Are these lines perpendicular?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/02\/perpendicular-32.png\" alt=\"identify perpendicular lines\" class=\"wp-image-23668\" width=\"166\" height=\"196\" title=\"identify perpendicular lines\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Solution: Yes, these are perpendicular lines. They intersect at $90^{\\circ}$.<\/p>\n\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-practice-problems-on-perpendicular-lines\">Practice Problems On Perpendicular Lines<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Perpendicular<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Identify the pair of perpendicular line segments in a given shape.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image13-5.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">AG and AB<\/div><div class=\"spq_answer_block\" data-value=\"1\">FE and ED<\/div><div class=\"spq_answer_block\" data-value=\"2\">FE and CD<\/div><div class=\"spq_answer_block\" data-value=\"3\">CB and AB<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: FE and ED<br\/>FE and ED are perpendicular line segments.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Each object has a highlighted pair of lines. Which of this object highlighted pair of lines does not show perpendicular lines?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">A<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image4-11.png\" alt=\"A\"><\/div><div class=\"spq_answer_block\" data-value=\"1\">B<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image34.png\" alt=\"B\"><\/div><div class=\"spq_answer_block\" data-value=\"2\">C<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image36.png\" alt=\"C\"><\/div><div class=\"spq_answer_block\" data-value=\"3\">D<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image17-8.png\" alt=\"D\"><\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: A<br\/>Candle. Its highlighted pair of lines shows parallel lines.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">At what time the hands of the clock will be perpendicular to each other?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">12 o\u2019clock<\/div><div class=\"spq_answer_block\" data-value=\"1\">6 o\u2019clock<\/div><div class=\"spq_answer_block\" data-value=\"2\">3 o\u2019clock<\/div><div class=\"spq_answer_block\" data-value=\"3\">5 o\u2019clock<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3 o\u2019clock<br\/>At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image16-7.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">How many lines are perpendicular to line CD in a given figure?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image27.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">4<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">At what time will the hands of the clock be perpendicular?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">03:40 pm<\/div><div class=\"spq_answer_block\" data-value=\"1\">04:00 pm<\/div><div class=\"spq_answer_block\" data-value=\"2\">09:00 am<\/div><div class=\"spq_answer_block\" data-value=\"3\">10:10 am<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 09:00 am<br\/>The hands of the clock intersect at right angles when the time is 9:00 am.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp5-ans.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">Perpendicular lines intersect each other at _____ angle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Right<\/div><div class=\"spq_answer_block\" data-value=\"1\">Obtuse<\/div><div class=\"spq_answer_block\" data-value=\"2\">Acute<\/div><div class=\"spq_answer_block\" data-value=\"3\">Straight<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Right<br\/>Perpendicular lines intersect each other at $90^{\\circ}$. $90^{\\circ}$ angles are known as right angles.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">7<\/span><h3 class=\"sqp_question_text\">In which of the following objects can we find perpendicular lines?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Ball<\/div><div class=\"spq_answer_block\" data-value=\"1\">Birthday hat<\/div><div class=\"spq_answer_block\" data-value=\"2\">Banana<\/div><div class=\"spq_answer_block\" data-value=\"3\">Laptop<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Laptop<br\/>Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Perpendicular\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Perpendicular\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the pair of perpendicular line segments in a given shape.\",\n                    \"text\": \"Identify the pair of perpendicular line segments in a given shape. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image13-5.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"FE and ED are perpendicular line segments.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"AG and AB\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"FE and ED are perpendicular line segments.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"FE and CD\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"FE and ED are perpendicular line segments.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"CB and AB\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"FE and ED are perpendicular line segments.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"FE and ED\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"FE and ED are perpendicular line segments.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"FE and ED are perpendicular line segments.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Each object has a highlighted pair of lines. 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Its highlighted pair of lines shows parallel lines.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"B <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image34.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Candle. Its highlighted pair of lines shows parallel lines.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"C <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image36.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Candle. Its highlighted pair of lines shows parallel lines.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"D <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image17-8.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Candle. Its highlighted pair of lines shows parallel lines.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"A\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Candle. Its highlighted pair of lines shows parallel lines.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Candle. Its highlighted pair of lines shows parallel lines.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"At what time the hands of the clock will be perpendicular to each other?\",\n                    \"text\": \"At what time the hands of the clock will be perpendicular to each other?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 o\u2019clock\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6 o\u2019clock\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 o\u2019clock\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3 o\u2019clock\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image16-7.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"At 3 o\u2019clock the hands of the clock are at 90 degrees to each other. So they are perpendicular to each other. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image16-7.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many lines are perpendicular to line CD in a given figure?\",\n                    \"text\": \"How many lines are perpendicular to line CD in a given figure? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image27.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Line PQ, line RS and line TU are perpendicular to CD. So, there are 3 lines perpendicular to line CD in the given figure.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"At what time will the hands of the clock be perpendicular?\",\n                    \"text\": \"At what time will the hands of the clock be perpendicular?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The hands of the clock intersect at right angles when the time is 9:00 am.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"03:40 pm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The hands of the clock intersect at right angles when the time is 9:00 am.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"04:00 pm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The hands of the clock intersect at right angles when the time is 9:00 am.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10:10 am\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The hands of the clock intersect at right angles when the time is 9:00 am.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"09:00 am\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The hands of the clock intersect at right angles when the time is 9:00 am. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp5-ans.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The hands of the clock intersect at right angles when the time is 9:00 am. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp5-ans.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Perpendicular lines intersect each other at _____ angle.\",\n                    \"text\": \"Perpendicular lines intersect each other at _____ angle.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perpendicular lines intersect each other at $$90^{\\\\circ}$$. $$90^{\\\\circ}$$ angles are known as right angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Obtuse\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perpendicular lines intersect each other at $$90^{\\\\circ}$$. $$90^{\\\\circ}$$ angles are known as right angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Acute\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perpendicular lines intersect each other at $$90^{\\\\circ}$$. $$90^{\\\\circ}$$ angles are known as right angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Straight\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perpendicular lines intersect each other at $$90^{\\\\circ}$$. $$90^{\\\\circ}$$ angles are known as right angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Right\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perpendicular lines intersect each other at $$90^{\\\\circ}$$. $$90^{\\\\circ}$$ angles are known as right angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perpendicular lines intersect each other at $$90^{\\\\circ}$$. $$90^{\\\\circ}$$ angles are known as right angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In which of the following objects can we find perpendicular lines?\",\n                    \"text\": \"In which of the following objects can we find perpendicular lines?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Ball\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Birthday hat\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Banana\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Laptop\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Laptop has edges intersecting at right angles. All other images do not have lines intersecting at right angles.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-frequently-asked-questions-on-perpendicular-lines\">Frequently Asked Questions On Perpendicular Lines<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>What are perpendicular lines?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can <strong>define <\/strong>a perpendicular line as two straight lines joined to a common point making a $90^{\\circ}$ angle with each other. Perpendicular lines are those lines that intersect each other at 90 degrees.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>Do perpendicular lines have to meet?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">These lines always intersect at right angles.&nbsp;<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>What is the perpendicular symbol?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The perpendicular symbol is $\\left|\\right|$. It is used between the two lines to show that they are perpendicular to each other.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>What is the difference between perpendicular lines and parallel lines?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perpendicular lines intersect at right angles (90 degree) while parallel lines are parallel to each other and never intersect. Graphically, parallel lines are two or more straight lines that do not touch each other even after extending them. However, perpendicular lines intersect each other at $90^{\\circ}$ .<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>Are all intersecting lines always perpendicular?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">No, not all intersecting lines are perpendicular to each other. They may intersect at different angles other than 90 degrees.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>Is it possible to have two lines that are both parallel and perpendicular to each other?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Parallel lines never touch each other while perpendicular lines meet each other at the intersecting point. Thus, you cannot have two lines that are both parallel and perpendicular to each other.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-6-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>How many perpendicular lines can be drawn to a given line passing through a given point on a line?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A perpendicular line must be at $90^{\\circ}$ with the other line. You can draw only one perpendicular to a given line that passes through the given point.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-7-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\"><strong>How many perpendicular lines can be drawn to a given line?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-7-cb494340-d9bd-4fe3-a9a8-75071b0ae78a\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A perpendicular line must be at $90^{\\circ}$ with the other line. You can draw one perpendicular to a given line passing through a given point.&nbsp; As you can draw many lines in this manner, there can be an infinite number of perpendicular lines on a given line.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What are Perpendicular Lines? Two distinct&nbsp;lines&nbsp;intersecting each other at $90^{\\circ}$ or at&nbsp;a right angle&nbsp;are called perpendicular lines.&nbsp; Example: Here, AB is perpendicular to XY because AB and XY intersect each other at $90^{\\circ}$. Non-Example: The two lines are parallel and do not intersect each other.&nbsp; The two lines are intersecting each other at an acute &#8230; <a title=\"Perpendicular Lines \u2013 Definition, Symbol, Properties, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular\" aria-label=\"More on Perpendicular Lines \u2013 Definition, Symbol, Properties, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1660","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1660","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1660"}],"version-history":[{"count":36,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1660\/revisions"}],"predecessor-version":[{"id":27589,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1660\/revisions\/27589"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}