{"id":153724,"date":"2022-03-25T22:44:28","date_gmt":"2022-03-25T17:14:28","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/parallel-lines-4\/"},"modified":"2024-01-06T18:13:06","modified_gmt":"2024-01-06T12:43:06","slug":"parallel-lines-4","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/parallel-lines\/","title":{"rendered":"Parallel Lines | Condition for Parallel Lines | Transversals angles"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/parallel-lines\/#Explain_in_Detail_Condition_for_Parallel_Lines\" title=\"Explain in Detail: Condition for Parallel Lines\">Explain in Detail: Condition for Parallel Lines<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/parallel-lines\/#Properties_of_Parallel_Lines\" title=\"Properties of Parallel Lines\">Properties of Parallel Lines<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/parallel-lines\/#Transversal\" title=\"Transversal\">Transversal<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/parallel-lines\/#Corresponding_Angles\" title=\"Corresponding Angles\">Corresponding Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/parallel-lines\/#Alternate_Interior_Angles\" title=\"Alternate Interior Angles\">Alternate Interior Angles<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Explain_in_Detail_Condition_for_Parallel_Lines\"><\/span>Explain in Detail: Condition for Parallel Lines<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Parallel lines are lines that are in the same plane and have the same direction. They never intersect, and their distance apart is constant.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153723 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/parallel-lines.jpg\" alt=\"Parallel Lines\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/parallel-lines.jpg?v=1648228466 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/parallel-lines-300x212.jpg?v=1648228466 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Parallel_Lines\"><\/span>Properties of Parallel Lines<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Parallel lines have the same slope.<\/li>\n<li>Parallel lines never intersect.<\/li>\n<li>The distance between parallel lines is always the same.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Transversal\"><\/span>Transversal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A transversal is a line that intersects two other lines.<\/li>\n<li>A transversal line is a line that intersects two or more other lines at different angles. A transversal can be used to determine the angles between two lines, or the measure of a specific angle. In the diagram below, line AB is the transversal, and lines AC and BD are the other lines that it intersects.<\/li>\n<li>Angles A and C are both right angles, because they are both 90 degrees. Angle B is not a right angle, because it is not 90 degrees. The measure of Angle A is 90 degrees, because it is the angle formed by the intersection of two perpendicular lines. The measure of Angle C is also 90 degrees, because it is the angle formed by the intersection of two parallel lines.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Corresponding_Angles\"><\/span>Corresponding Angles<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The angles below are corresponding angles.<\/p>\n<ul>\n<li>Angle 1 and Angle 3 are corresponding angles because they are both angles formed by a line and a transversal intersecting two lines.<\/li>\n<li>Angle 2 and Angle 4 are also corresponding angles because they are both angles formed by a line and a transversal intersecting two lines.<\/li>\n<li>In geometry, two angles are called corresponding angles if they have the same measure. Corresponding angles are always adjacent angles. For example, in the image below, angles A and C are corresponding angles because they have the same measure, 90 degrees.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Alternate_Interior_Angles\"><\/span>Alternate Interior Angles<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>An angle that is not a right angle is called an alternate interior angle.<\/li>\n<li>The measure of an alternate interior angle is always less than the measure of a right angle.<\/li>\n<li>In geometry, alternate interior angles are two angles that are in between two parallel lines and are next to each other. The angles are opposite each other and are formed by two lines that are parallel to each other. The two angles are also equal in measure.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Explain in Detail: Condition for Parallel Lines Parallel lines are lines that are in the same plane and have the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Parallel Lines","_yoast_wpseo_title":"Parallel Lines - Condition for Parallel Lines, and Angles","_yoast_wpseo_metadesc":"Parallel lines are lines that are in the same plane and have the same direction. 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