{"id":403,"date":"2022-04-12T10:28:23","date_gmt":"2022-04-12T10:28:23","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=403"},"modified":"2024-11-05T10:25:50","modified_gmt":"2024-11-05T10:25:50","slug":"s-3-congruence-statements-and-corresponding-parts","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/s-3-congruence-statements-and-corresponding-parts\/","title":{"rendered":"S.3 Congruence statements and corresponding parts"},"content":{"rendered":"\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<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Congruence statements and corresponding parts<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<p><strong>Congruence Statements<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Congruent Figures:<\/strong> Figures that have the same size and shape are called congruent figures.<\/li>\n\n\n\n<li><strong>Congruence Statement:<\/strong> A congruence statement is used to indicate that two figures are congruent.<\/li>\n\n\n\n<li><strong>Notation:<\/strong> The symbol \u2245 is used to represent congruence.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>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>Corresponding Parts<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Corresponding Parts:<\/strong> When two figures are congruent, their corresponding parts are the parts that match up when the figures are placed on top of each other.<\/li>\n\n\n\n<li><strong>Corresponding Sides:<\/strong> Corresponding sides of congruent figures are equal in length.<\/li>\n\n\n\n<li><strong>Corresponding Angles:<\/strong> Corresponding angles of congruent figures are equal in measure.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If triangle ABC \u2245 triangle DEF, then:\n<ul class=\"wp-block-list\">\n<li>AB corresponds to DE<\/li>\n\n\n\n<li>BC corresponds to EF<\/li>\n\n\n\n<li>CA corresponds to FD<\/li>\n\n\n\n<li>Angle A corresponds to angle D<\/li>\n\n\n\n<li>Angle B corresponds to angle E<\/li>\n\n\n\n<li>Angle C corresponds to angle F<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Key Points to Remember:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Congruent figures have the same size and shape.<\/li>\n\n\n\n<li>Congruence statements are used to indicate that two figures are congruent.<\/li>\n\n\n\n<li>Corresponding parts of congruent figures are equal.<\/li>\n\n\n\n<li>To write a congruence statement, identify the corresponding vertices and sides of the two figures.<\/li>\n<\/ul>\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<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:#fdd9fe\"><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\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>Complete the congruence statement.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"266\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image.png\" alt=\"\" class=\"wp-image-14651\" style=\"aspect-ratio:2.7593984962406015;width:516px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image.png 734w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-300x109.png 300w\" sizes=\"auto, (max-width: 734px) 100vw, 734px\" \/><\/figure>\n\n\n\n<p>\u00a0\u0394 <em>EFG<\/em>\u00a0\u2245 \u00a0\u0394\u00a0______ ?<\/p>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"704\" height=\"249\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-1.png\" alt=\"\" class=\"wp-image-14653\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-1.png 704w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-1-300x106.png 300w\" sizes=\"auto, (max-width: 704px) 100vw, 704px\" \/><\/figure>\n\n\n\n<p>Find the corresponding angles of these congruent shapes.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>\u2220<em>E<\/em>\u00a0\u2245\u00a0\u2220<em>J<\/em><\/td><td>\u2220<em>F<\/em>\u00a0\u2245\u00a0\u2220<em>K<\/em><\/td><td>\u2220<em>G<\/em>\u00a0\u2245\u00a0\u2220<em>I<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Use these corresponding angles, in order, to write a congruence statement.<\/p>\n\n\n\n<p>\u00a0\u0394\u00a0<em>EFG<\/em>\u00a0\u2245\u00a0\u00a0\u0394\u00a0<em>JKI<\/em><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f7f5d1\"><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\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\ude00 <strong>What are the corresponding parts of the figures below? Select all that apply.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"183\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-2.png\" alt=\"\" class=\"wp-image-14654\" style=\"aspect-ratio:3.7049180327868854;width:519px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-2.png 678w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-2-300x81.png 300w\" sizes=\"auto, (max-width: 678px) 100vw, 678px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D\u0305E\u0305 \u2245 J\u0305K\u0305<\/li>\n\n\n\n<li>\u2220F \u2245 \u2220J<\/li>\n\n\n\n<li>\u2220D \u2245 \u2220J<\/li>\n\n\n\n<li>E\u0305F\u0305 \u2245 L\u0305 J\u0305<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"685\" height=\"187\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-3.png\" alt=\"\" class=\"wp-image-14655\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-3.png 685w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-3-300x82.png 300w\" sizes=\"auto, (max-width: 685px) 100vw, 685px\" \/><\/figure>\n\n\n\n<p>Find the corresponding angles of these congruent shapes.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>\u2220<em>D<\/em>\u00a0\u2245\u00a0\u2220<em>J<\/em><\/td><td>\u2220<em>E<\/em>\u00a0\u2245\u00a0\u2220<em>K<\/em><\/td><td>\u2220<em>F<\/em>\u00a0\u2245\u00a0\u2220<em>L<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Find the corresponding sides of these congruent shapes.<\/p>\n\n\n\n<p>D\u0305E\u0305 \u2245 J\u0305K\u0305              E\u0305F\u0305 \u2245 K\u0305L\u0305        F\u0305D\u0305 \u2245 L\u0305J\u0305 <\/p>\n\n\n\n<p>There were two correct answer choices:<\/p>\n\n\n\n<p>D\u0305E\u0305 \u2245 J\u0305K\u0305<\/p>\n\n\n\n<p>\u2220D \u2245 \u2220J<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#c4edf8\"><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\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 <strong>Complete the congruence statement.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"709\" height=\"267\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-4.png\" alt=\"\" class=\"wp-image-14657\" style=\"aspect-ratio:2.655430711610487;width:524px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-4.png 709w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-4-300x113.png 300w\" sizes=\"auto, (max-width: 709px) 100vw, 709px\" \/><\/figure>\n\n\n\n<p><em>IJKL<\/em>\u00a0\u2245 ____<\/p>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"693\" height=\"275\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-5.png\" alt=\"\" class=\"wp-image-14659\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-5.png 693w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-5-300x119.png 300w\" sizes=\"auto, (max-width: 693px) 100vw, 693px\" \/><\/figure>\n\n\n\n<p>Find the corresponding angles of these congruent shapes.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>\u2220<em>I<\/em>\u00a0\u2245\u00a0\u2220<em>R<\/em><\/td><td>\u2220<em>J<\/em>\u00a0\u2245\u00a0\u2220<em>O<\/em><\/td><td>\u2220<em>K<\/em>\u00a0\u2245\u00a0\u2220<em>P<\/em><\/td><td>\u2220<em>L<\/em>\u00a0\u2245\u00a0\u2220<em>Q<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Use these corresponding angles, in order, to write a congruence statement.<\/p>\n\n\n\n<p><em>IJKL<\/em>\u00a0\u2245\u00a0<em>ROPQ<\/em><\/p>\n\n\n\n<p>Because these shapes have symmetry, there is more than one correct answer. You could also write:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><em>IJKL<\/em><\/td><td>&nbsp;\u2245&nbsp;<\/td><td><em>PQRO<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\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<\/div><\/div>\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\/895\/139\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-113.png\" alt=\"\" class=\"wp-image-6833\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-113.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-113-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-113-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-113-400x400.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\/80390\/977\/628\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-114.png\" alt=\"\" class=\"wp-image-6834\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-114.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-114-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-114-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-114-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Congruence statements and corresponding parts Key notes: Congruence Statements Example: Corresponding Parts Example: Key Points to Remember: Learn with an example \ud83d\udd14 Complete the congruence statement. \u00a0\u0394 EFG\u00a0\u2245 \u00a0\u0394\u00a0______ ? Find the corresponding angles of these congruent shapes. \u2220E\u00a0\u2245\u00a0\u2220J \u2220F\u00a0\u2245\u00a0\u2220K \u2220G\u00a0\u2245\u00a0\u2220I Use these corresponding angles, in order, to write a congruence statement. \u00a0\u0394\u00a0EFG\u00a0\u2245\u00a0\u00a0\u0394\u00a0JKI \ud83d\ude00 What<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/s-3-congruence-statements-and-corresponding-parts\/\">Continue reading <span class=\"screen-reader-text\">&#8220;S.3 Congruence statements and corresponding parts&#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-403","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/403","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=403"}],"version-history":[{"count":14,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/403\/revisions"}],"predecessor-version":[{"id":14660,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/403\/revisions\/14660"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=403"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}