{"id":1008,"date":"2012-03-02T20:53:09","date_gmt":"2012-03-02T20:53:09","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=1008"},"modified":"2014-12-02T08:33:48","modified_gmt":"2014-12-02T08:33:48","slug":"geometry-angles-formed-by-parallel-lines-and-a-transversal","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/geometry-angles-formed-by-parallel-lines-and-a-transversal\/","title":{"rendered":"Geometry: Angles Formed by Parallel Lines and a Transversal"},"content":{"rendered":"<p class=\"MsoNormal\" style=\"line-height: normal\"><span>A <span>transversal<\/span> is a line that intersects two or more lines. <\/span><span lang=\"EN-IN\">When a transversal cuts (or intersects) parallel lines several pairs of congruent (equal) and supplementary angles (sum 180\u00b0) are formed.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/angles-with-parallel-lines1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1010\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/angles-with-parallel-lines1.png\" alt=\"\" width=\"378\" height=\"285\" \/><\/a><!--[if gte mso 9]&gt;--><\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoListParagraphCxSpFirst\" style=\"margin-left: 0in\"><span lang=\"EN-IN\">In the above figure transversal t cuts the parallel lines m and n. <\/span><\/p>\n<p class=\"MsoListParagraphCxSpMiddle\" style=\"margin-left: 0in\"><span lang=\"EN-IN\">Following types of <span style=\"text-decoration: underline\">congruent angles<\/span> are formed:<br \/>\n<\/span><\/p>\n<p class=\"MsoListParagraphCxSpMiddle\" style=\"margin-left: 0in\"><strong><span lang=\"EN-IN\">Corresponding angles<\/span><\/strong><span lang=\"EN-IN\">: these angles are located on the same side of the transversal. In the above figure 1 and 5, 2 and 6, 3 and 7, 4 and 8 are pairs of corresponding angles.<br \/>\n<\/span><\/p>\n<p class=\"MsoListParagraphCxSpMiddle\" style=\"margin-left: 0in\"><strong><span lang=\"EN-IN\">Alternate Interior angles<\/span><\/strong><span lang=\"EN-IN\">: These angles are found between the parallel lines on the alternating sides of the transversal. Notice the Z (marked in red and green) on the diagram. These angles are in the corners of the Z. In the above figure 3 and 6, 4 and 5 form the pairs of alternate interior angles.<\/span><strong><span lang=\"EN-IN\"><br \/>\n<\/span><\/strong><\/p>\n<p class=\"MsoListParagraphCxSpMiddle\" style=\"margin-left: 0in\"><strong><span lang=\"EN-IN\">Alternate Exterior angles: <\/span><\/strong><span lang=\"EN-IN\">These angles are found outside the parallel lines on the alternating sides of the transversal. 1 and 8, 2 and 7 are the pairs of alternate exterior angles.<\/span><strong><span lang=\"EN-IN\"><br \/>\n<\/span><\/strong><\/p>\n<p class=\"MsoListParagraphCxSpLast\" style=\"margin-left: 0in\"><span style=\"text-decoration: underline\"><span lang=\"EN-IN\">Supplementary angles<\/span><\/span><span lang=\"EN-IN\"> are formed on the same side of the transversal in between the parallel lines. 3 and 5, 4 and 6 are supplementary angles. <\/span><\/p>\n<p>&nbsp;<\/p>\n<p>SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Toronto visit: <a href=\"..\/..\/private-tutoring-in-toronto\/\">Tutoring in Toronto<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"MsoNormal\" style=\"line-height: normal\"><span lang=\"EN-IN\"><br \/>\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A transversal is a line that intersects two or more lines. When a transversal cuts (or intersects) parallel lines several pairs of congruent (equal) and supplementary angles (sum 180\u00b0) are formed. &nbsp; &nbsp; In the above figure transversal t cuts the parallel lines m and n. Following types of congruent angles are formed: Corresponding angles: [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[85,97,100,413,1282,1783],"class_list":["post-1008","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-alternateangles","tag-anglesformedbyparallellinesandatransversal","tag-angleswithparalllellines","tag-correspondingangles","tag-parallellineangles","tag-supplementaryangles"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/1008","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=1008"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/1008\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=1008"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=1008"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=1008"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}