{"id":1635,"date":"2022-04-21T09:34:49","date_gmt":"2022-04-21T09:34:49","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1635"},"modified":"2023-05-10T08:44:38","modified_gmt":"2023-05-10T08:44:38","slug":"parallel-lines-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines","title":{"rendered":"Parallel Lines &#8211; Definition, Examples, Practice Problems, 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-aed0af1f-5c04-491f-be47-a5b321e6dbbc\" 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\/parallel-lines#0-what-do-parallel-lines-look-like>What Do Parallel Lines Look Like?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines#2-what-is-a-transversal>What Is a Transversal?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines#4-parallel-line-equations>Parallel Line Equations<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines#5-solved-examples-on-parallel-lines>Solved Examples on Parallel Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines#6-practice-problems-on-parallel-lines>Practice Problems on Parallel Lines<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines#7-frequently-asked-questions-on-parallel-lines>Frequently Asked Questions on Parallel Lines<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\" eplus-wrapper\">In <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\" target=\"_blank\" rel=\"noopener\" title=\"\">geometry<\/a>, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/horizontal\" target=\"_blank\" rel=\"noopener\" title=\"\">horizontal<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/vertical\" target=\"_blank\" rel=\"noopener\" title=\"\">vertical<\/a>.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-1.png\" alt=\"Parallel Lines in Zebra Crossing\" class=\"wp-image-7410\" title=\"Parallel Lines in Zebra Crossing\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-1-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-do-parallel-lines-look-like\">What Do Parallel Lines Look Like?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In the figure below, line &#8220;AB&#8221; is parallel to the line &#8220;CD&#8221;.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The perpendicular distance is always the same between two parallel lines.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-2.png\" alt=\"Lines AB and CD are Parallel\" class=\"wp-image-7411\" title=\"Lines AB and CD are Parallel\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-2-300x159.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Sides of various shapes are parallel to each other. In the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" target=\"_blank\" rel=\"noopener\" title=\"\">rectangle<\/a> given below, the single arrow lines are parallel to each other, and similarly, the double arrow lines are also parallel to each other.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Parallel lines are represented with a pair of vertical lines between the names of the lines, using the sign: \ufe33\ufe33<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"326\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-3.png\" alt=\"Representing Parallel Lines\" class=\"wp-image-7412\" title=\"Representing Parallel Lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-3-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;<\/p>\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\/count-pairs-of-parallel-sides-in-shapes-and-choose-the-correct-answer\" 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_count_parallel_2d_shape_pt.png\" alt=\"Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer 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\">Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer 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\/find-parallel-sides\" 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_parallel_sides_1_pt.png\" alt=\"Find Parallel Sides 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\">Find Parallel Sides 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-kite-rhombuses-and-parallelograms\" 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_rhombus_parallelogram_pt.png\" alt=\"Identify Kite, Rhombuses and Parallelograms 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 Kite, Rhombuses and Parallelograms 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-parallel-sides\" 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_parallel_sides_2_pt.png\" alt=\"Identify Parallel Sides 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 Sides 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-sides-in-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_identify_parallel_2d_shape_pt.png\" alt=\"Identify Parallel Sides in 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 Parallel Sides in 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><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                    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         }\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-let%E2%80%99s-sing\">Let\u2019s Sing!<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><em>Draw parallel lines on a sheet,<\/em><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><em>Use a ruler to make them neat!<\/em><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><em>Make sure their ends never meet!<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-is-a-transversal\">What Is a Transversal?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">A transversal is a line that intersects two parallel lines (or lines on a plane) at different intersecting points, forming <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\" target=\"_blank\" rel=\"noopener\" title=\"\">angles<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-4.png\" alt=\"Transversal\" class=\"wp-image-7413\" title=\"Transversal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-4-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-properties-of-parallel-lines\">Properties of Parallel Lines<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Parallel lines can be easily identified using the following fundamental properties and characteristics:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">They are always straight lines with an equal distance between each other.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">They are coplanar lines.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">They never intersect, no matter how far you try to extend them in any given direction.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">If there is a transversal line that intersects two parallel lines at two different points, it will form 4 angles at each point.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"363\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-5.png\" alt=\"Corresponding Angles\" class=\"wp-image-7414\" title=\"Corresponding Angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-5-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">The corresponding angles formed by the two parallel lines and a transversal are equal.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"491\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-6.png\" alt=\"Parallel Lines cut by a Transversal\" class=\"wp-image-7415\" title=\"Parallel Lines cut by a Transversal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-6-300x238.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"261\" height=\"20\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/1-6296141be53e8.png\" alt=\"\" class=\"wp-image-7416\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/1-6296141be53e8.png 261w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/1-6296141be53e8-250x20.png 250w\" sizes=\"auto, (max-width: 261px) 100vw, 261px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Pairs of internal angles on the same side of the crossing are supplementary.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">The vertically opposite angles\/apex angles are equal.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Alternate internal\/<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/interior-angles\" target=\"_blank\" rel=\"noopener\" title=\"\">interior angles<\/a> are equal.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"458\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-7.png\" alt=\"Alternate Angles\" class=\"wp-image-7417\" title=\"Alternate Angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-7-300x222.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Alternate external\/exterior angles are also equal.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"496\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-8.png\" alt=\"Alternate Exterior Angles\" class=\"wp-image-7418\" title=\"Alternate Exterior Angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-8-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-parallel-line-equations\">Parallel Line Equations<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Linear equations are generally described by the slope-intercept represented by the equation $y = mx + b$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Where &#8220;m&#8221; is the slope, &#8220;b&#8221; is the y-intercept, and y and x are variables.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The value of \u201cm\u201d determines the slope and indicates the steep slope of the line.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Note that the slopes of the two parallel lines are always the same.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, if the slope of the straight line in the equation y $= 4x + 3$ is 4, then all lines parallel to $y = 4x + 3$ have the same slope, or 4.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Parallel lines have different y-intersections and have no points or angles in common.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"691\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-9.png\" alt=\"Equation of a Parallel Line\" class=\"wp-image-7419\" title=\"Equation of a Parallel Line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Parallel-Lines-9-269x300.png 269w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples-on-parallel-lines\">Solved Examples on Parallel Lines<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: Find out which lines are parallel to each other in the given figure.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"491\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-1.png\" alt=\"Parallel Lines cut by 2 Transversals\" class=\"wp-image-7420\" title=\"Parallel Lines cut by 2 Transversals\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-1-300x238.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>All the three lines with arrows passing through them are parallel to each other, which means:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">a || b || c<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Lines with the double arrows, i.e., line d and e are transversals of lines a, b, and c, but they are parallel to each other.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, we can say that d || e<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: Find whether the given lines intersected by a transversal in the figure are parallel or not.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"767\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-2.png\" alt=\"Alternate Angles a and c\" class=\"wp-image-7421\" title=\"Alternate Angles a and c\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-2-243x300.png 243w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> The two lines are parallel as they meet one of the properties of parallel lines \u201cwhen the alternate interior angles are equal, the lines are parallel\u201d.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$\u2220a$ is equal to $\u2220c$, and both of these are alternate interior angles.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">This proves that the two lines are parallel.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3: Are the lines intersected by the transversal in this figure parallel?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"810\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-3.png\" alt=\"Non-corresponding Angles\" class=\"wp-image-7422\" title=\"Non-corresponding Angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Example-3-230x300.png 230w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution<\/strong>: According to the given properties of parallel lines, the alternating, corresponding, and consecutive angles should be the same to form parallel lines.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">In this case, $\u2220a$ is not equal to $\u2220d&nbsp;$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Thus, these two lines are not parallel.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-parallel-lines\">Practice Problems on Parallel Lines<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Parallel Lines - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following terms does not describe a pair of parallel lines?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Noncoplanar<\/div><div class=\"spq_answer_block\" data-value=\"1\">Coplanar<\/div><div class=\"spq_answer_block\" data-value=\"2\">Equidistant<\/div><div class=\"spq_answer_block\" data-value=\"3\">Lines running in the same direction<\/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: Noncoplanar<br\/>According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.<\/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\">Which of the following real-world examples does not represent a pair of parallel lines?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Clock hands<\/div><div class=\"spq_answer_block\" data-value=\"1\">Wipers of a car<\/div><div class=\"spq_answer_block\" data-value=\"2\">Stairs and railings<\/div><div class=\"spq_answer_block\" data-value=\"3\">Strings of a tennis racket net<\/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: Clock hands<br\/>The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of 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\">A transversal intersects these two parallel lines. If the value for one angle is given, can you find the value of \u2220X?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$120\u00b0$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$0\u00b0$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$112\u00b0$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$224\u00b0$<img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-4-4.png\" alt=\"$224\u00b0$\"><\/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: $112\u00b0$<br\/>If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$\u2220X = 112\u00b0$ as given. <\/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\": \"Parallel Lines - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Parallel Lines\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following terms does not describe a pair of parallel lines?\",\n                    \"text\": \"Which of the following terms does not describe a pair of parallel lines?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Coplanar\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Equidistant\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Lines running in the same direction\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Noncoplanar\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the definition of parallel lines, they are coplanar lines that are evenly<br>spaced but never intersect. This indicates that parallel lines are not noncoplanar.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following real-world examples does not represent a pair of parallel lines?\",\n                    \"text\": \"Which of the following real-world examples does not represent a pair of parallel lines?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of parallel lines.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Wipers of a car\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of parallel lines.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Stairs and railings\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of parallel lines.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Strings of a tennis racket net\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of parallel lines.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Clock hands\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of parallel lines.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The wiper of a car, stairs, railings, and the strings of a racket all have the same orientation and do not intersect. They are all in the same plane (that is, the strings are in the same plane in the net).<br>\r\nHowever, the hands of the clock intersect at the center of the clock and are not represented by a pair of parallel lines.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A transversal intersects these two parallel lines. If the value for one angle is given, can you find the value of \u2220X?\",\n                    \"text\": \"A transversal intersects these two parallel lines. If the value for one angle is given, can you find the value of \u2220X?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$$\u2220X = 112\u00b0$$ as given. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$120\u00b0$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$$\u2220X = 112\u00b0$$ as given. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0\u00b0$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$$\u2220X = 112\u00b0$$ as given. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$224\u00b0$$ <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Examples-4-4.png\\\"\/>\",\n                                \n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$$\u2220X = 112\u00b0$$ as given. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$112\u00b0$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$$\u2220X = 112\u00b0$$ as given. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If both the lines are parallel, then according to one of the properties of parallel lines, the corresponding angles and alternating interior and exterior angles formed are equal.<br>\r\nIn this case, as the alternate exterior angles will be equal,<br>\r\n$$\u2220X = 112\u00b0$$ as given. \"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions-on-parallel-lines\">Frequently Asked Questions on Parallel Lines<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b30550e5-ffc6-41ac-bc64-59766578034e\" 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-b30550e5-ffc6-41ac-bc64-59766578034e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b30550e5-ffc6-41ac-bc64-59766578034e\"><strong>What are the different types of 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-0-b30550e5-ffc6-41ac-bc64-59766578034e\">\n\n<p class=\" eplus-wrapper\">Parallel lines can be vertical, diagonal, and horizontal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"861\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Problems-5.png\" alt=\"Different Types of Parallel Lines\" class=\"wp-image-7431\" title=\"Different Types of Parallel Lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Problems-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Solved-Problems-5-216x300.png 216w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/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-1-b30550e5-ffc6-41ac-bc64-59766578034e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b30550e5-ffc6-41ac-bc64-59766578034e\"><strong>How are parallel lines used in coordinate geometry?<\/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-b30550e5-ffc6-41ac-bc64-59766578034e\">\n\n<p class=\" eplus-wrapper\">If the graphs of two linear equations of coordinate geometry are parallel, then the two equations have no common solution.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The slopes of two parallel lines are the same and always equal in coordinate geometry.<\/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-b30550e5-ffc6-41ac-bc64-59766578034e\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b30550e5-ffc6-41ac-bc64-59766578034e\"><strong>How can you prove that two lines are parallel?<\/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-b30550e5-ffc6-41ac-bc64-59766578034e\">\n\n<p class=\" eplus-wrapper\">You can use some geometric relationships to prove that two lines are parallel.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">A transversal is a line that intersects two or more lines. When a line intersects a pair of parallel lines, a pair of different angles are formed.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">These different <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/types-of-angles\" target=\"_blank\" rel=\"noopener\" title=\"\">types of angles<\/a> are used to prove whether the two lines are parallel to each other according to the given properties of parallel lines.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around &#8230; <a title=\"Parallel Lines &#8211; Definition, Examples, Practice Problems, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines\" aria-label=\"More on Parallel Lines &#8211; Definition, Examples, Practice Problems, 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-1635","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\/1635","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=1635"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1635\/revisions"}],"predecessor-version":[{"id":28954,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1635\/revisions\/28954"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}