{"id":301,"date":"2022-04-13T10:37:03","date_gmt":"2022-04-13T10:37:03","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=301"},"modified":"2025-03-01T09:54:53","modified_gmt":"2025-03-01T09:54:53","slug":"p-1-identify-similar-figures","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/p-1-identify-similar-figures\/","title":{"rendered":"P.1 Identify similar figures"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Identify similar figures<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-large-font-size\">Shapes are similar if their corresponding angles are all congruent and their corresponding sides are proportional.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e4c7f2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-82881feeb8be42aaccc0b0c205a427de\" style=\"color:#b00012\"><strong>Are these shapes similar?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-49.png\" alt=\"\" class=\"wp-image-11448\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-49.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-49-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled-design-49-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Yes<\/li>\n\n\n\n<li>No<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look for the parts that appear to be corresponding. Reflect the second shape so that it matches the first shape.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___500___300px_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4816\" style=\"width:530px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___500___300px_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___500___300px_-removebg-preview-1-300x180.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>First, see if the corresponding angles are all congruent.<\/p>\n\n\n\n<p><em>T<\/em>&nbsp;\u2245&nbsp;&nbsp;<em>W<\/em><\/p>\n\n\n\n<p>S&nbsp;\u2245&nbsp;X<\/p>\n\n\n\n<p>R&nbsp;\u2245&nbsp;V<\/p>\n\n\n\n<p>The corresponding angles are all congruent.<\/p>\n\n\n\n<p>Next, see if the corresponding sides are proportional. Start by finding the lengths of all the sides.<\/p>\n\n\n\n<p><em>TS<\/em>&nbsp;and&nbsp;<em>WX<\/em>&nbsp;have a ratio of&nbsp;30\/40 , which is equivalent to&nbsp;3\/4.<\/p>\n\n\n\n<p><em>SR<\/em>&nbsp;and&nbsp;<em>XV<\/em>&nbsp;have a ratio of&nbsp;30\/40 , which is equivalent to&nbsp;3\/4.<\/p>\n\n\n\n<p><em>RT<\/em>&nbsp;and&nbsp;<em>VW<\/em>&nbsp;have a ratio of&nbsp;18\/24, which is equivalent to&nbsp;3\/4.<\/p>\n\n\n\n<p>The ratios are all&nbsp;3\/4, so the corresponding sides are proportional.<\/p>\n\n\n\n<p>Since the corresponding angles are all congruent and the corresponding sides are proportional, the shapes are similar.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#eba6a6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-82881feeb8be42aaccc0b0c205a427de\" style=\"color:#b00012\"><strong>Are these shapes similar?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"930\" height=\"324\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-59.png\" alt=\"\" class=\"wp-image-11449\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-59.png 930w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-59-300x105.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-59-768x268.png 768w\" sizes=\"auto, (max-width: 930px) 100vw, 930px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Yes<\/li>\n\n\n\n<li>No<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look for the parts that appear to be corresponding. Reflect the second shape so that it matches the first shape.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"998\" height=\"245\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-30T172933.480.png\" alt=\"\" class=\"wp-image-11453\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-30T172933.480.png 998w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-30T172933.480-300x74.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-30T172933.480-768x189.png 768w\" sizes=\"auto, (max-width: 998px) 100vw, 998px\" \/><\/figure><\/div>\n\n\n<p>First, see if the corresponding angles are all congruent.<\/p>\n\n\n\n<p>\u2220Q&nbsp;\u2245&nbsp;\u2220<em>W<\/em><\/p>\n\n\n\n<p>\u2220N &nbsp;\u2245&nbsp; \u2220X<\/p>\n\n\n\n<p>\u22200 &nbsp;\u2245&nbsp; \u2220U<\/p>\n\n\n\n<p>\u2220P \u2245&nbsp; \u2220V<\/p>\n\n\n\n<p>The corresponding angles are all congruent.<\/p>\n\n\n\n<p>Next, see if the corresponding sides are proportional. Start by finding the lengths of all the sides.<\/p>\n\n\n\n<p><em>QNOP<\/em>&nbsp;is a parallelogram. The opposite sides are congruent.&nbsp;<em>QN<\/em>&nbsp;is 30&nbsp;mm and&nbsp;<em>PQ<\/em>&nbsp;is 41&nbsp;mm.<\/p>\n\n\n\n<p><em>WXUV<\/em>&nbsp;is also a parallelogram. The opposite sides are congruent.&nbsp;<em>WX<\/em>&nbsp;is 30&nbsp;mm and&nbsp;<em>XU<\/em>&nbsp;is 46&nbsp;mm.<\/p>\n\n\n\n<p><em>QN<\/em>&nbsp;and&nbsp;<em>WX<\/em>&nbsp;have a ratio of 30\/30 , which is equivalent to 1\/1 .<\/p>\n\n\n\n<p><em>NO<\/em>&nbsp;and&nbsp;<em>XU<\/em>&nbsp;have a ratio of 41\/46 .<\/p>\n\n\n\n<p><em>OP<\/em>&nbsp;and&nbsp;<em>UV<\/em>&nbsp;have a ratio of&nbsp;30\/30 , which is equivalent to 1\/1 .<\/p>\n\n\n\n<p><em>PQ<\/em>&nbsp;and&nbsp;<em>VW<\/em>&nbsp;have a ratio of 41\/46 .<\/p>\n\n\n\n<p>The ratios are not all the same, so the corresponding sides are not proportional.<\/p>\n\n\n\n<p>Since the corresponding sides are not proportional, the shapes are not similar.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/87681\/841\/987\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99.png\" alt=\"\" class=\"wp-image-7162\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/80688\/113\/525\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-117.png\" alt=\"\" class=\"wp-image-7167\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-117.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-117-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-117-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify similar figures Key Notes : Shapes are similar if their corresponding angles are all congruent and their corresponding sides are proportional. Learn with an example Are these shapes similar? Look for the parts that appear to be corresponding. Reflect the second shape so that it matches the first shape. First, see if the corresponding<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/p-1-identify-similar-figures\/\">Continue reading <span class=\"screen-reader-text\">&#8220;P.1 Identify similar figures&#8221;<\/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-301","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/301","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=301"}],"version-history":[{"count":18,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/301\/revisions"}],"predecessor-version":[{"id":17553,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/301\/revisions\/17553"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=301"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}