{"id":1576,"date":"2022-04-21T04:53:07","date_gmt":"2022-04-21T04:53:07","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1576"},"modified":"2024-03-18T08:57:27","modified_gmt":"2024-03-18T08:57:27","slug":"intersecting-lines-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines","title":{"rendered":"Intersecting Lines &#8211; Definition, Properties, Facts, Examples, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-611d54d2-23e7-4ee2-b1dc-84e6fa119220\" 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\/intersecting-lines#0-what-are-intersecting-lines>What Are Intersecting Lines?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines#2-real-life-examples-of-intersecting-lines>Real-life Examples of Intersecting Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines#4-what-are-parallel-lines>What Are Parallel Lines?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines#7-solved-examples-on-intersecting-lines>Solved Examples on Intersecting Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines#8-practice-problems-on-intersecting-lines>Practice Problems on Intersecting Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines#9-frequently-asked-questions-on-intersecting-lines>Frequently Asked Questions on Intersecting Lines<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-intersecting-lines\">What Are Intersecting Lines?<\/h2>\n\n\n\n<p><strong>When two or more lines cross or meet each other in a plane, the lines are called intersecting lines.&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Point of Intersection:<\/strong>&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>Intersecting lines share a common <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/point\">point<\/a> called the point of intersection.<br>In the figure below, lines p and q intersect at point O. So, point O is the point of intersection.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"298\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/point-of-intersection-of-two-intersecting-lines.png\" alt=\"Point of intersection of two intersecting lines\" class=\"wp-image-37240\" title=\"Point of intersection of two intersecting lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/point-of-intersection-of-two-intersecting-lines.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/point-of-intersection-of-two-intersecting-lines-300x144.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In the image below, many straight lines cross each other and intersect at the common point P. Here, P is called the point of concurrency.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiple-intersecting-lines-and-their-point-of-intersection.png\" alt=\"Multiple intersecting lines and their point of intersection\" class=\"wp-image-37242\" title=\"Multiple intersecting lines and their point of intersection\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiple-intersecting-lines-and-their-point-of-intersection.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/multiple-intersecting-lines-and-their-point-of-intersection-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Note<\/strong>: Three or more lines can share more than one point of intersection.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"360\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/three-lines-sharing-more-than-one-point-of-intersection.png\" alt=\"Three lines sharing more than one point of intersection\" class=\"wp-image-37243\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/three-lines-sharing-more-than-one-point-of-intersection.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/three-lines-sharing-more-than-one-point-of-intersection-300x174.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In the given diagram, there are three lines$\\overset{\\leftrightarrow}{WX}$<em>, <\/em>$\\overset{\\leftrightarrow}{YZ}$<em>, <\/em>and $\\overset{\\leftrightarrow}{UV}$ intersecting each other at three points, M, N, and O.<\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line\" title=\"line\">line<\/a> is a one-dimensional figure since it has only length and no width. It extends endlessly in both directions, and we cannot determine its length. One and only one line can pass through any two given points.<\/p>\n\n\n\n<p>In the given diagram, the line is determined by two points, A and B. It can be written as line $\\overset{\\leftrightarrow}{AB}$ or simply as line l.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/line-ab-or-line.png\" alt=\"Line AB or line l\" class=\"wp-image-37244\" title=\"Line AB or line l\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/line-ab-or-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/line-ab-or-line-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/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\/add-like-fractions-using-number-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\/fractions_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number 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\">Add Like Fractions using Number 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/divide-using-number-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\/mult_div_facts_divide_nl_pt.png\" alt=\"Divide using Number 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\">Divide using Number 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-fractions-on-number-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\/fractions_identify_fraction_nl_pt.png\" alt=\"Identify Fractions on Number 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 Fractions on Number 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-lines-line-segments-rays-angles\" 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_pt_line_ray_angle_pt.png\" alt=\"Identify Lines, Line Segments, Rays, Angles 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 Lines, Line Segments, Rays, Angles 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 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-lines-of-symmetry-in-irregular-shapes\" 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_symm_irregular_shape_pt.png\" alt=\"Identify the LInes of Symmetry in Irregular Shapes 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 the LInes of Symmetry in Irregular Shapes 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-lines-of-symmetry-in-quadrilaterals\" 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_symm_regular_shape_pt.png\" alt=\"Identify the LInes of Symmetry in Quadrilaterals 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 the LInes of Symmetry in Quadrilaterals 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/mark-fractions-on-number-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\/fractions_place_fraction_nl_pt.png\" alt=\"Mark Fractions on Number 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\">Mark Fractions on Number 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/mark-unit-fractions-on-number-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\/fractions_place_unit_fraction_nl_pt.png\" alt=\"Mark Unit Fractions on Number 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\">Mark Unit Fractions on Number 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/missing-denominators-on-number-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\/fractions_missing_deno_nl_pt.png\" alt=\"Missing Denominators on Number 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\">Missing Denominators on Number 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\" id=\"1-intersecting-lines-definition\">Intersecting Lines Definition<\/h2>\n\n\n\n<p>Intersecting lines refer to two or more lines that cross or meet at a common point, which is known as the point of intersection.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-real-life-examples-of-intersecting-lines\">Real-life Examples of Intersecting Lines<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Scissors: The two arms of a pair of scissors&nbsp;<\/li>\n\n\n\n<li>Crossroads: Two roads (considered straight lines) meeting at a common point make crossroads.&nbsp;<\/li>\n\n\n\n<li>Patterns: The lines on the floor&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/real-life-examples-of-intersecting-lines.png\" alt=\"Real-life examples of intersecting lines\" class=\"wp-image-37245\" title=\"Real-life examples of intersecting lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/real-life-examples-of-intersecting-lines.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/real-life-examples-of-intersecting-lines-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>We use the word \u201cintersection\u201d in daily life in reference to roads or streets.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p><strong>Example<\/strong>: Traffic at the intersection, taking a turn at the intersection, etc.<\/p>\n\n\n\n<p>An intersection is the place where two or more streets, roads, or lines meet.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/street-intersection.png\" alt=\"Street intersection\" class=\"wp-image-37246\" title=\"Street intersection\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/street-intersection.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/street-intersection-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-angles-formed-by-two-intersecting-lines\">Angles Formed by Two Intersecting Lines<\/h2>\n\n\n\n<p>When two lines intersect each other, different types of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">angles<\/a> are formed. The angles formed by the intersection of two lines are vertical angles, adjacent angles, linear pairs of angles.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Adjacent Angles (Bold)<\/strong><\/li>\n<\/ul>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/adjacent-angles\">Adjacent angles<\/a> are the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">angles<\/a> that share a common vertex and a common side.&nbsp;<\/p>\n\n\n\n<p>In the figure given below, the pair of adjacent angles is:<\/p>\n\n\n\n<p>(i) a and b<\/p>\n\n\n\n<p>(ii) b and c<\/p>\n\n\n\n<p>(iii) c and d<\/p>\n\n\n\n<p>(iv) a and d<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"355\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-adjacent-angles.png\" alt=\"Intersecting lines forming adjacent angles\" class=\"wp-image-37247\" title=\"Intersecting lines forming adjacent angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-adjacent-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-adjacent-angles-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Vertically Opposite Angles (Bold)<\/strong><\/li>\n<\/ul>\n\n\n\n<p>If two lines intersect each other, they form a pair of non-adjacent angles known as vertically opposite angles. The vertically opposite angles are equal to each other. In the figure given below, lines p and q intersect each other. Pairs of vertically opposite angles are a and c; b and d.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-vertical-angles.png\" alt=\"Intersecting lines forming vertical angles\" class=\"wp-image-37248\" title=\"Intersecting lines forming vertical angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-vertical-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-vertical-angles-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Pair of Straight Angles or Linear Pair of Angles (Bold)<\/strong><\/li>\n<\/ul>\n\n\n\n<p>If the sum of measures of two adjacent angles is 180 degrees, then they are called angles in linear pair. A linear pair of angles forms a straight line when combined.<\/p>\n\n\n\n<p>Here, angles a and b, angles a and d, angles b and c, and angles c and d form a linear pair.&nbsp;<\/p>\n\n\n\n<p>In the figure given below:<\/p>\n\n\n\n<p>a + b = 180\u00b0<\/p>\n\n\n\n<p>b + c = 180\u00b0<\/p>\n\n\n\n<p>c + d = 180\u00b0<\/p>\n\n\n\n<p>a + d = 180\u00b0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"305\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-linear-pair-of-angles.png\" alt=\"Intersecting lines forming linear pair of angles\" class=\"wp-image-37249\" title=\"Intersecting lines forming linear pair of angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-linear-pair-of-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/intersecting-lines-forming-linear-pair-of-angles-300x148.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-what-are-parallel-lines\">What Are Parallel Lines?<\/h2>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines\">Parallel lines<\/a> are a pair of lines that never intersect and remain equidistant from each other at all points.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"255\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/parallel-lines.png\" alt=\"Parallel lines\" class=\"wp-image-37250\" title=\"Parallel lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/parallel-lines.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/parallel-lines-300x123.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<p>In the figure given above, lines a and b are parallel lines. They never meet and the perpendicular distance between them is always the same.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-intersecting-lines\">Facts about Intersecting Lines<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Intersecting lines meet at a common point called the point of intersection.<\/li>\n\n\n\n<li>At the point of intersection, intersecting lines create four angles: two pairs of opposite angles and two pairs of adjacent angles.<\/li>\n\n\n\n<li>Opposite angles formed by intersecting lines are congruent, meaning they have equal measures.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perpendicular\">Perpendicular lines<\/a> are two lines that intersect each other at a right angle.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learnt about intersecting lines, angles formed by them, parallel lines, and the point of intersection. Let\u2019s solve a few examples and practice problems based on intersecting lines!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-intersecting-lines\">Solved Examples on Intersecting Lines<\/h2>\n\n\n\n<p><strong>1. <\/strong><strong>Answer the following questions based on the information given in the diagram.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"413\" height=\"218\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-parallel-and-intersecting-lines.png\" alt=\"Identifying parallel and intersecting lines\" class=\"wp-image-37251\" title=\"Identifying parallel and intersecting lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-parallel-and-intersecting-lines.png 413w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-parallel-and-intersecting-lines-300x158.png 300w\" sizes=\"auto, (max-width: 413px) 100vw, 413px\" \/><\/figure>\n\n\n\n<p><strong>(a) Lines <\/strong>$\\overleftrightarrow{GH}$<strong> and <\/strong>$\\overleftrightarrow{CD}$ <strong>are _____ lines.<\/strong><\/p>\n\n\n\n<p><strong>(b) Lines <\/strong>$\\overleftrightarrow{EF}$ <strong> and <\/strong>$\\overleftrightarrow{CD}$<strong> are _____ lines.<\/strong><\/p>\n\n\n\n<p><strong>(c) Which line segments are intersecting? Give one example.<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>: (a) $\\overleftrightarrow{GH}$  and $\\overleftrightarrow{CD}$  intersect each other at one point, which is Q. So, they are intersecting lines.&nbsp;<\/p>\n\n\n\n<p>(b) Lines $\\overleftrightarrow{EF}$  and $\\overleftrightarrow{CD}$  do not intersect each other. The distance between  $\\overleftrightarrow{EF}$ and $\\overleftrightarrow{CD}$  remains constant. So, they are parallel lines.<\/p>\n\n\n\n<p>\u00a9 Line segments PQ and PR intersect at the point P.<\/p>\n\n\n\n<p><strong>2. Two lines intersect each other at Point E as given in the figure. Find m\u2220QEY.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"289\" height=\"245\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-vertically-opposite-angles.png\" alt=\"Identifying vertically opposite angles\" class=\"wp-image-37252\" title=\"Identifying vertically opposite angles\"\/><\/figure>\n\n\n\n<p><strong>Solution<\/strong>: When two lines intersect each other, vertically opposite angles are equal.&nbsp;<\/p>\n\n\n\n<p>So, m\u2220XER = m\u2220QEY&nbsp;<\/p>\n\n\n\n<p>m\u2220QEY = 72\u00b0<\/p>\n\n\n\n<p><strong>3. Are the lines <\/strong>$\\overleftrightarrow{AB}$<strong> and <\/strong>$\\overleftrightarrow{CD}$<strong> intersecting? Explain why or why not.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"365\" height=\"152\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/lines-ab-and-cd.png\" alt=\"Lines AB and CD\" class=\"wp-image-37253\" title=\"Lines AB and CD\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/lines-ab-and-cd.png 365w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/lines-ab-and-cd-300x125.png 300w\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" \/><\/figure>\n\n\n\n<p><strong>Solution: <\/strong>Yes. Lines $\\overleftrightarrow{AB}$ and $\\overleftrightarrow{CD}$ , if extended further, will intersect each other.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"528\" height=\"152\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/extended-lines-intersecting-each-other.png\" alt=\"Extended lines intersecting each other\" class=\"wp-image-37254\" title=\"Extended lines intersecting each other\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/extended-lines-intersecting-each-other.png 528w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/extended-lines-intersecting-each-other-300x86.png 300w\" sizes=\"auto, (max-width: 528px) 100vw, 528px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-intersecting-lines\">Practice Problems on Intersecting Lines<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Intersecting Lines - Definition, Properties, Facts, Examples, FAQs<\/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 parallel lines in the figure given below.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-parallel-lines.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$\\overleftrightarrow{MN}$ and $\\overleftrightarrow{BE}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\overleftrightarrow{MN}$ and $\\overleftrightarrow{CF}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\overleftrightarrow{CF}$ and $\\overleftrightarrow{BE}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\overleftrightarrow{CF}$ and $\\overleftrightarrow{AD}$<\/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: $\\overleftrightarrow{MN}$ and $\\overleftrightarrow{CF}$<br\/>$\\overleftrightarrow{MN}$ and $\\overleftrightarrow{CF}$ do not intersect each other. So, they are parallel.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What are the types of angles formed by the two intersecting lines?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Vertically opposite angles<\/div><div class=\"spq_answer_block\" data-value=\"1\">Linear Pair<\/div><div class=\"spq_answer_block\" data-value=\"2\">Adjacent angles<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of these<\/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: All of these<br\/>Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.<\/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\">Which of the following statements is true?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Two lines are said to be intersecting if they do not cross each other at one point.<\/div><div class=\"spq_answer_block\" data-value=\"1\">Vertically opposite angles are not congruent.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Two lines intersect each other at one point only.<\/div><div class=\"spq_answer_block\" data-value=\"3\">Two lines can intersect at two or more points.<\/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: Two lines intersect each other at one point only.<br\/>Two lines intersect each other at one point only.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the measure of \u2220AXZ.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/adjacent-angles-formed-by-two-intersecting-lines.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">150\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">120\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">30\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">60\u00b0<\/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: 150\u00b0<br\/>Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0<\/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\": \"Intersecting Lines - Definition, Properties, Facts, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Intersecting Lines\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the pair of parallel lines in the figure given below.\",\n                    \"text\": \"Identify the pair of parallel lines in the figure given below. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/identifying-parallel-lines.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$ do not intersect each other. So, they are parallel.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{BE}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$ do not intersect each other. So, they are parallel.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\overleftrightarrow{CF}$$ and $$\\\\overleftrightarrow{BE}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$ do not intersect each other. So, they are parallel.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\overleftrightarrow{CF}$$ and $$\\\\overleftrightarrow{AD}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$ do not intersect each other. So, they are parallel.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$ do not intersect each other. So, they are parallel.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\overleftrightarrow{MN}$$ and $$\\\\overleftrightarrow{CF}$$ do not intersect each other. So, they are parallel.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What are the types of angles formed by the two intersecting lines?\",\n                    \"text\": \"What are the types of angles formed by the two intersecting lines?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Vertically opposite angles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Linear Pair\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Adjacent angles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of these\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Two lines that intersect each other form vertically opposite angles, angles in linear pairs, and adjacent angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following statements is true?\",\n                    \"text\": \"Which of the following statements is true?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Two lines intersect each other at one point only.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Two lines are said to be intersecting if they do not cross each other at one point.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two lines intersect each other at one point only.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Vertically opposite angles are not congruent.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two lines intersect each other at one point only.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Two lines can intersect at two or more points.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two lines intersect each other at one point only.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Two lines intersect each other at one point only.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Two lines intersect each other at one point only.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Two lines intersect each other at one point only.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the measure of \u2220AXZ.\",\n                    \"text\": \"Find the measure of \u2220AXZ. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/adjacent-angles-formed-by-two-intersecting-lines.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"120\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"150\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Here, m\u2220AXY = 30\u00b0<br>\r\nm\u2220AXZ + m\u2220AXY = 180\u00b0 (Linear Pair)<br>\r\nm\u2220AXZ = 180\u00b0 \u2013 30\u00b0 = 150\u00b0\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-on-intersecting-lines\">Frequently Asked Questions on Intersecting Lines<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6ad9955a-ddad-47dc-84f6-3a39bd24073b\" 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-0-6ad9955a-ddad-47dc-84f6-3a39bd24073b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6ad9955a-ddad-47dc-84f6-3a39bd24073b\"><strong>What are skew 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-0-6ad9955a-ddad-47dc-84f6-3a39bd24073b\">\n\n<p>Skew lines are lines that are not on the same plane and do not intersect and are not parallel. For example, a line on the wall of your room and a line on the ceiling. These lines do not lie on the same plane. If these lines are not parallel to each other and do not intersect, then they can be considered skew lines.<\/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-1-6ad9955a-ddad-47dc-84f6-3a39bd24073b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6ad9955a-ddad-47dc-84f6-3a39bd24073b\"><strong>What does it mean when two lines intersect each other in a coordinate plane?<\/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-1-6ad9955a-ddad-47dc-84f6-3a39bd24073b\">\n\n<p>When two lines intersect each other in a coordinate plane, it means that they have a common solution. For example: x + 3y = 9 and x + 2y = 6 have a common solution at (0, 3).<\/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-2-6ad9955a-ddad-47dc-84f6-3a39bd24073b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6ad9955a-ddad-47dc-84f6-3a39bd24073b\"><strong>What is the range of the angle formed by two intersecting 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-2-6ad9955a-ddad-47dc-84f6-3a39bd24073b\">\n\n<p>The angle formed between two intersecting lines is greater than 0\u00b0 and less than 180\u00b0.<\/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-3-6ad9955a-ddad-47dc-84f6-3a39bd24073b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6ad9955a-ddad-47dc-84f6-3a39bd24073b\"><strong>What are coplanar 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-3-6ad9955a-ddad-47dc-84f6-3a39bd24073b\">\n\n<p>Two or more lines that lie in the same plane are said to be <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/coplanar\">coplanar<\/a>. Any two lines that intersect each other must lie in the same plane, and therefore are coplanar.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"307\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/coplanar-lines.png\" alt=\"Coplanar lines\" class=\"wp-image-37237\" title=\"Coplanar lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/coplanar-lines.png 366w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/coplanar-lines-300x252.png 300w\" sizes=\"auto, (max-width: 366px) 100vw, 366px\" \/><\/figure>\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-4-6ad9955a-ddad-47dc-84f6-3a39bd24073b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6ad9955a-ddad-47dc-84f6-3a39bd24073b\"><strong>What&#8217;s the difference between a line, a line segment and a ray?<\/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-4-6ad9955a-ddad-47dc-84f6-3a39bd24073b\">\n\n<p><strong>Line: <\/strong>A line extends indefinitely in both directions with no <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/endpoint\">endpoints<\/a>. Its length cannot be measured.<\/p>\n\n\n\n<p><strong>Ray:<\/strong> A ray is a part of a line. It has one fixed starting point but no endpoint. It extends indefinitely in one direction.<\/p>\n\n\n\n<p><strong>Line Segment:<\/strong> A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\">line segment<\/a> has two endpoints. It has definite length.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"384\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-line-a-segment-and-a-ray.jpeg\" alt=\"A line, a segment and a ray\" class=\"wp-image-37238\" title=\"A line, a segment and a ray\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-line-a-segment-and-a-ray.jpeg 512w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-line-a-segment-and-a-ray-300x225.jpeg 300w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure>\n\n<\/div><\/div>\n<\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-9d6595d7 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>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Are Intersecting Lines? When two or more lines cross or meet each other in a plane, the lines are called intersecting lines.&nbsp; Intersecting lines share a common point called the point of intersection.In the figure below, lines p and q intersect at point O. So, point O is the point of intersection. In the &#8230; <a title=\"Intersecting Lines &#8211; Definition, Properties, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines\" aria-label=\"More on Intersecting Lines &#8211; Definition, Properties, Facts, Examples, FAQs\">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-1576","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\/1576","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=1576"}],"version-history":[{"count":32,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1576\/revisions"}],"predecessor-version":[{"id":41099,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1576\/revisions\/41099"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}