{"id":307,"date":"2022-04-13T10:38:10","date_gmt":"2022-04-13T10:38:10","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=307"},"modified":"2025-03-01T11:22:30","modified_gmt":"2025-03-01T11:22:30","slug":"p-4-side-lengths-and-angle-measures-in-similar-figures","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/p-4-side-lengths-and-angle-measures-in-similar-figures\/","title":{"rendered":"P.4 Side lengths and angle measures in similar figures"},"content":{"rendered":"\n

Side lengths and angle measures in similar figures<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

Two polygons are similar if and only if their corresponding angles are congruent and their corresponding sides are proportional.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\u25b3VWX~\u25b3STR. Find RT<\/em>.<\/strong><\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

RT = _________<\/p>\n<\/div><\/div>\n\n\n\n

Use the fact that VWX is similar to STR to write proportions and solve for RT<\/em>.<\/p>\n\n\n\n

\u25b3VWX ~ \u25b3STR<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

To start, find two corresponding sides whose lengths are given: VW<\/em>=14 and ST<\/em>=2. Now write the proportions<\/p>\n\n\n\n

Write a proportion to solve for RT . Use VW , ST , RT , and its corresponding side WX<\/em>.<\/p>\n\n\n\n

VW \/ ST = WX \/ RT Definition of similarity<\/p>\n\n\n\n

14 \/ 2 = 21 \/ RT Plug in VW=14, <\/em>ST=2 and <\/em>WX=21<\/p>\n\n\n\n

7 = 21 \/ RT Simplify<\/p>\n\n\n\n

7 . RT = 21 Multiply both sides by <\/em>RT<\/p>\n\n\n\n

RT = 3 Divide both sides by 7<\/p>\n\n\n\n

So, RT<\/em>=3.<\/p>\n<\/div><\/div>\n\n\n\n

\n
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\u25b3BCD ~ \u25b3JHI. Find BC.<\/strong><\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

BC = ______<\/p>\n<\/div><\/div>\n\n\n\n

Use the fact that BCD is similar to JHI to write proportions and solve for BC<\/em>.<\/p>\n\n\n\n

\u25b3BCD~\u25b3JHI<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

To start, find two corresponding sides whose lengths are given: BD=4 and IJ=1. Now write the proportions.<\/p>\n\n\n\n

Write a proportion to solve for BC . Use BD , IJ , BC , and its corresponding side HJ.<\/p>\n\n\n\n

BD \/ IJ = BC \/ HJ Definition of similarity<\/p>\n\n\n\n

4 \/ 1 = BC \/ 1 Plug in <\/em>BD=4, <\/em>IJ=1 and <\/em>HJ=1<\/p>\n\n\n\n

4 = BC Simplify<\/em><\/p>\n\n\n\n

So , BC = 4.<\/p>\n<\/div><\/div>\n\n\n\n

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\u25b3WXY ~ \u25b3EFD. What is \u2220W?<\/strong><\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

\u2220W = ______ \u00b0<\/p>\n<\/div><\/div>\n\n\n\n

\u2220W is not given, but the measure of its corresponding angle\u2014\u2220E\u2014is.<\/p>\n\n\n\n

\u25b3WXY ~ \u25b3EFD<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

So, \u2220W=\u2220E=56\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice!<\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Side lengths and angle measures in similar figures Key Notes : Two polygons are similar if and only if their corresponding angles are congruent and their corresponding sides are proportional. Learn with an example \u25b3VWX~\u25b3STR. Find RT. RT = _________ Use the fact that VWX is similar to STR to write proportions and solve for RT. \u25b3VWX ~ \u25b3STR To start, find two corresponding sidesContinue reading “P.4 Side lengths and angle measures in similar figures”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-307","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/307","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=307"}],"version-history":[{"count":13,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/307\/revisions"}],"predecessor-version":[{"id":17556,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/307\/revisions\/17556"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}