{"id":401,"date":"2022-04-12T10:28:05","date_gmt":"2022-04-12T10:28:05","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=401"},"modified":"2024-10-23T15:44:21","modified_gmt":"2024-10-23T15:44:21","slug":"s-2-side-lengths-and-angle-measures-of-congruent-figures","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/s-2-side-lengths-and-angle-measures-of-congruent-figures\/","title":{"rendered":"S.2 Side lengths and angle measures of congruent figures"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Side lengths and angle measures of congruent figures<\/strong><\/h2>\n\n\n\n<p class=\"has-large-font-size\"><strong>key notes <\/strong> :<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><strong>Congruent Figures<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Congruent figures are figures that have the same size and shape.<\/li>\n\n\n\n<li>Two figures are congruent if they can be placed on top of each other so that they match exactly.<\/li>\n<\/ul>\n\n\n\n<p><strong>Corresponding Parts<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Corresponding parts of congruent figures are the parts that match up when the figures are placed on top of each other.<\/li>\n\n\n\n<li>Corresponding sides are equal in length.<\/li>\n\n\n\n<li>Corresponding angles are equal in measure.<\/li>\n<\/ul>\n\n\n\n<p><strong>Congruence Statements<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Congruence statements are used to indicate that two figures are congruent.<\/li>\n\n\n\n<li>For example, if triangle ABC is congruent to triangle DEF, it is written as triangle ABC \u2245 triangle DEF.<\/li>\n<\/ul>\n\n\n\n<p><strong>Properties of Congruent Figures<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If two figures are congruent, their corresponding sides are equal in length.<\/li>\n\n\n\n<li>If two figures are congruent, their corresponding angles are equal in measure.<\/li>\n\n\n\n<li>If two figures have all corresponding sides equal in length and all corresponding angles equal in measure, they are congruent.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"141\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-42.png\" alt=\"\" class=\"wp-image-14582\" style=\"aspect-ratio:2.127659574468085;width:444px;height:auto\"\/><\/figure><\/div>\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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\" style=\"background-color:#d8f9d1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\"><div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres.png\" alt=\"\" class=\"wp-image-4945\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>These figures are congruent. What is&nbsp;<em>MO<\/em>?<\/strong><\/p>\n\n\n\n<p>&nbsp;_______ kilometres<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4947\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres-removebg-preview-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres-removebg-preview-1-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>First, write a congruency statement. Remember that corresponding vertices must appear in the same order.<\/p>\n\n\n\n<p>\u2206MON \u2245 \u2206QRS<\/p>\n\n\n\n<p>You know that \u2206MON \u2245 \u2206QRS, which means that \u2206MON is congruent to \u2206QRS. Find the side in \u2206QRS that corresponds to \u2206MO.<\/p>\n\n\n\n<p>MO \u2245 QR<\/p>\n\n\n\n<p>Since&nbsp;<em>MO<\/em>&nbsp;\u2245&nbsp;<em>QR<\/em>, the two sides have the same length.<\/p>\n\n\n\n<p>According to the figure, QR = 50 km. So, MO = 50 km.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d6d2ff\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\"><div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-1.png\" alt=\"\" class=\"wp-image-4949\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-1-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>\u2206OPQ \u2245 \u2206WXV. What is XV?<\/strong><\/p>\n\n\n\n<p>_______ kilometres<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres-removebg-preview-2.png\" alt=\"\" class=\"wp-image-4951\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres-removebg-preview-2.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres-removebg-preview-2-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>You know that \u2206OPQ \u2245 \u2206WXV, which means that \u2206OPQ is congruent to \u2206WXV. Find the side in \u2206OPQ that corresponds to XV.<\/p>\n\n\n\n<p>XV \u2245 PQ<\/p>\n\n\n\n<p>Since&nbsp;<em>XV<\/em>&nbsp;\u2245&nbsp;<em>PQ<\/em>, the two sides have the same length.<\/p>\n\n\n\n<p>According to the figure, PQ = 55 km. So, XV = 55 km.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#fcd0d0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\"><div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-1-1.png\" alt=\"\" class=\"wp-image-4952\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-1-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These-figures-are-congruent.-What-is-MO-kilometres-1-1-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>These figures are congruent. What is U?<\/strong><\/p>\n\n\n\n<p>_____\u00b0<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres__1_-removebg-preview.png\" alt=\"\" class=\"wp-image-4953\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres__1_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/These_figures_are_congruent._What_is_MO_kilometres__1_-removebg-preview-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>First, write a congruency statement. Remember that corresponding vertices must appear in the same order.<\/p>\n\n\n\n<p>\u2206DEF \u2245 \u2206STU<\/p>\n\n\n\n<p>You know that \u2206DEF \u2245 \u2206STU, which means that \u2206DEF is congruent to \u2206STU. Find the angle in \u2206DEF that corresponds to \u2220U.<\/p>\n\n\n\n<p>\u2220U \u2245 \u2220F<\/p>\n\n\n\n<p>Since \u2220U \u2245 \u2220F, the two angles have the same measure.<\/p>\n\n\n\n<p>According to the figure, \u2220F = 79\u00b0. So, \u2220U = 79\u00b0.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/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\/80310\/542\/500\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-112.png\" alt=\"\" class=\"wp-image-6830\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-112.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-112-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-112-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-112-400x400.png 400w\" 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\/80331\/665\/782\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-113.png\" alt=\"\" class=\"wp-image-6831\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-113.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-113-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-113-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-113-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Side lengths and angle measures of congruent figures key notes : Congruent Figures Corresponding Parts Congruence Statements Properties of Congruent Figures Learn with an example \ud83d\udd14 These figures are congruent. What is&nbsp;MO? &nbsp;_______ kilometres First, write a congruency statement. Remember that corresponding vertices must appear in the same order. \u2206MON \u2245 \u2206QRS You know that<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/s-2-side-lengths-and-angle-measures-of-congruent-figures\/\">Continue reading <span class=\"screen-reader-text\">&#8220;S.2 Side lengths and angle measures of congruent 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,"footnotes":""},"class_list":["post-401","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/401","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=401"}],"version-history":[{"count":16,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/401\/revisions"}],"predecessor-version":[{"id":14584,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/401\/revisions\/14584"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=401"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}