{"id":9997,"date":"2023-12-23T15:59:34","date_gmt":"2023-12-23T10:29:34","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=9997"},"modified":"2023-12-26T09:22:21","modified_gmt":"2023-12-26T03:52:21","slug":"ap-board-7th-class-maths-solutions-chapter-8-ex-3","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-7th-class-maths-solutions-chapter-8-ex-3\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 8 Congruency of Triangles Ex 3"},"content":{"rendered":"

AP State Syllabus AP Board 7th Class Maths Solutions<\/a> Chapter 8 Congruency of Triangles Ex 3 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 8th Lesson Congruency of Triangles Exercise 3<\/h2>\n

\"AP<\/p>\n

Question 1.
\nIn following pairs of triangles, fmd the pairs which are congruent? Also, write the criterion of congruence.
\n\"AP<\/p>\n

\"AP
\n\"AP
\n\"AP
\nSolution:
\n\"AP
\nAB = PR
\n\u2220B = \u2220P
\n\u2220C = \u2220Q
\nNow by angle sum property
\n\u2220A = \u2220R
\n\u2234 By A.S.A, \u0394ABC \u2245 \u0394RPQ<\/p>\n

\"AP
\n\u0394ADB \u2245 \u0394CBD by A.S.A.
\n\u2220ABD = \u2220CDB
\nDB = DB<\/p>\n

\"AP<\/p>\n

\"AP
\nAB = CD
\n\u2220A = \u2220D
\n\u2220B = \u2220C (by angle sum properly
\nBy A.S.A
\n\u0394ABO \u2245 \u0394DCO<\/p>\n

\"AP
\nWe can say whether the triangles are congruent or not, at least one pair of sides should be given equal.<\/p>\n

\"AP<\/p>\n

Question 2.
\nIn the adjacent figure.
\n(i) Are \u0394ABC and \u0394DCB congruent?
\n(ii) Are \u0394AOB congruent to \u0394DOC\u2019?
\nAlso identify the relation between corresponding elements and give reason for your answer.
\n\"AP
\nSolution:
\ni) yes.
\n\u2220ACB = \u2220DBC
\nBC = BC
\n\u2220ABC = \u2220DCB (by angle sum property)
\n\u2234 \u0394ABC \u2245 \u0394DCB (A.S.A)<\/p>\n

\"AP<\/p>\n

ii) yes
\n\u2220A = \u2220D
\n\u2220ABO = \u2220DCO (angle sum property)
\nAB = DC [From (i)]
\n\u2234 \u0394AOB \u2245 \u0394DOC (A.S.A)
\nOtherwise \u0394AOB and \u0394DOC are similar by A.A.A. In congruent triangles corresponding parts
\nare equal.<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 7th Class Maths Solutions Chapter 8 Congruency of Triangles Ex 3 Textbook Questions and Answers. AP State Syllabus 7th Class Maths Solutions 8th Lesson Congruency of Triangles Exercise 3 Question 1. In following pairs of triangles, fmd the pairs which are congruent? Also, write the criterion of congruence. Solution: AB … Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":37821,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2021\/04\/Chapter-8-Congruency-of-Triangles-Ex-3.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/9997"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=9997"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/9997\/revisions"}],"predecessor-version":[{"id":37822,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/9997\/revisions\/37822"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/37821"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=9997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=9997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=9997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}