{"id":5390,"date":"2021-12-29T15:38:35","date_gmt":"2021-12-29T10:08:35","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=5390"},"modified":"2024-02-21T12:41:38","modified_gmt":"2024-02-21T07:11:38","slug":"study-materials-ncert-solutions-class-7-maths-chapter-7-congruence-of-triangles","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/chapter-7-congruence-of-triangles\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles"},"content":{"rendered":"<p><span data-contrast=\"auto\">Here are the NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles. Students can either practice online or download these NCERT Solutions to practice all types of questions connected to this chapter in order to attain the best possible results in their exams. Congruence is the property of two objects being congruent.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">There are two exercises in Chapter 7 \u2013 Triangle Congruence. These NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles are meticulously prepared by subject specialists and include no errors.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\"> Let&#8217;s take a closer look at some of the concepts covered in this chapter.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Plane Figure Congruence<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Line Segment Compatibility<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Angles that are congruent<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Triangles that are congruent<\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial, Arial_MSFontService, sans-serif\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Triangles Must Be Congruent Using These Criteria<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"Arial, Arial_MSFontService, sans-serif\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Right-Angled Triangles and Congruence<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ul>\n<p><b><span data-contrast=\"auto\">NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span style=\"color: #0000ff;\">\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F05%2F7.-Congruence-of-Triangles.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"0596d04f0d\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">7. Congruence of Triangles<br\/><\/a><\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 7 Maths &#8211; <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:360,&quot;335559739&quot;:120,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Facts<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:280,&quot;335559739&quot;:280,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Congruent refers to two line segments that are of equal length.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559738&quot;:280,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Congruent angles are those in which the measurements of two angles are equivalent.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">If the three sides of one triangle are equal to the three equivalent sides of the other, the two triangles are congruent. The SSS congruence criteria are the name of this rule.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">In one triangle, two angles and the side that connects them are equivalent to the corresponding two angles and the included side of another triangle. The ASA congruence criteria are the name of this rule.<\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Two triangles are congruent if one of the triangles&#8217; two angles and the included angle between them are equal to the other triangle&#8217;s corresponding sides and included angle. The SAS congruence criteria are the name of this rule.<\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Two right-angled triangles are congruent if one of their hypotenuses and one of their legs are equal to the other&#8217;s hypotenuse and corresponding leg. The RHS congruence criteria are the name of this rule.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559739&quot;:280,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b><span data-contrast=\"auto\">Angles: Some Facts<\/span><\/b><span data-contrast=\"auto\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:280,&quot;335559739&quot;:280,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Vertically opposing angles are equal.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559738&quot;:280,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">A linear pair is formed when the total of two neighboring angles equals <\/span>[Equation]<span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">When a transversal intersects two parallel lines, alternative angles are equal, and corresponding angles are equal <\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mn&gt;180&lt;\/mn&gt;&lt;msup&gt;&lt;mrow \/&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msup&gt;&lt;mo&gt;.&lt;\/mo&gt;&lt;\/math&gt;\">1800.1800.<\/span><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">The total of interior opposite angles on the same transversal side is<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mn&gt;180&lt;\/mn&gt;&lt;msup&gt;&lt;mrow \/&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/msup&gt;&lt;mo&gt;.&lt;\/mo&gt;&lt;\/math&gt;\">1800.1800.<\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">In a right-angled triangle, the hypotenuse&#8217;s square is equal to the sum of the legs&#8217; squares.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559685&quot;:720,&quot;335559739&quot;:280,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ul>\n<p><b><span data-contrast=\"auto\">Plane Figure Congruence<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">When one plane figure completely covers the other, they are considered to be the same shape and size. Congruent objects are those that are similar in appearance. Objects that are congruent are identical clones of one another. Congruence is the relationship between two congruent objects.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b>Also Get: <span style=\"color: #0000ff;\"><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-books\/\">Online Textbooks Section from NCERT<\/a> <\/span><\/b><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here are the NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles. Students can either practice online or [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Chapter 7 Congruence of Triangles","_yoast_wpseo_title":"Chapter 7 Congruence of Triangles NCERT Solutions for Class 7 Maths","_yoast_wpseo_metadesc":"NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles. To know the solution, please visit us at infinitylearn.com","custom_permalink":"study-materials\/ncert-solutions\/class-7\/maths\/chapter-7-congruence-of-triangles\/"},"categories":[19,87],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Chapter 7 Congruence of Triangles NCERT Solutions for Class 7 Maths<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles. 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