{"id":11122,"date":"2024-01-25T09:43:50","date_gmt":"2024-01-25T04:13:50","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=11122"},"modified":"2024-01-27T09:25:57","modified_gmt":"2024-01-27T03:55:57","slug":"ap-board-7th-class-maths-solutions-chapter-12-intext-questions","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-7th-class-maths-solutions-chapter-12-intext-questions\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 12 Quadrilaterals InText Questions"},"content":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions<\/a> Chapter 12 Quadrilaterals InText Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 12th Lesson Quadrilaterals InText Questions<\/h2>\n

\"AP<\/p>\n

Try This\u00a0<\/span><\/p>\n

Question 1.
\n\"AP
\nIs quadrilateral EFGH a convex quadrilateral ?
\n(ii) Is quadrilateral TUVW a concave quadrilateral?
\n0ii) Draw both the diagonals for quadrilateral EFGH. Do they intersect each other?
\n(iv) Draw both the diagonals for quadrilateral TUVW. Do they intersect each other?
\nYou will find that the digonals of a convex quadrilateral intersect each other in the interior of the quadrilateral and the diagonals of a concave quadrilateral intersect each other in the exterior of the quadrilateral. (Page No. 229)
\nSolution:
\ni) Yes.
\nii) Yes.
\niii) In \u25a1 EFGH, the diagonals intersect each other.
\n\"AP
\niv) In \u25a1 TUVW, the diagonals do not interest each other.
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 2.
\nWhat would happen if the quadrilateral is not convex ? Consider quadrilateral ABCD. Split it into two triangles and find the sum of the interior angles. What is the sum of interior angles of a concave quadrilateral. (Page No. 230)
\nSolution:
\nSum of the interior angles of a quadrilateral (convex or concave) is always equal to 360\u00b0.
\n\"AP<\/p>\n

Do This<\/span><\/p>\n

Question 1.
\nFind the other adjacent sides and common vertices. (Page No. 227)
\nSolution:
\nadj. sides — common vertex
\n\\(\\overline{\\mathrm{AB}}, \\overline{\\mathrm{BC}}\\) – – B
\n\\(\\overline{\\mathrm{BC}}, \\overline{\\mathrm{CD}}\\) – – C
\n\\(\\overline{\\mathrm{CD}}, \\overline{\\mathrm{DA}}\\) – – D
\nAB, AD — A
\n\"AP<\/p>\n

Question 2.
\nFind the other pairs of adjacent angles and sides. (Page No. 227)
\nadj. angles — side
\n\u2220A, \u2220B — AB
\n\u2220B, \u2220C – – BC
\n\u2220C, \u2220D – – CD
\n\u2220D, \u2220A – – DA<\/p>\n

\"AP<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nProve that in a kite ABCD, \u0394ABC, and \u0394ADC are congruent. (Page No. 223)
\nSolution:
\nProof in \u0394ABC and \u0394ADC,
\nAB = AD (consecutive sides of the kite)
\nBC = DC (consecutive sides of the kite)
\nAC = AC (common side)
\n\u2234 By S.S.S congruency criterion ,
\n\u0394ABC \u2226 \u0394ADC
\n\"AP<\/p>\n

Do This<\/span><\/p>\n

Question 1.
\nIdentify two more pairs of supplementary angles from the parallelogram ABCD given. (Page No. 236)
\nSolution:
\nIn parallelogram ABCD, the pairs of supplementary angles are
\n(\u2220A, \u2220B), (\u2220B, \u2220C), (\u2220C, \u2220D) and (\u2220D, \u2220A)
\n\"AP<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nHow many different quadrilaterals can be obtained from the adjacent figure ? Name them. (Page No. 228)
\nSolution:
\nNine quadrilaterals can be obtained.
\nQuadrilateral ABCD ABDE ACDE,
\nAHDE BCDE, CDEG,
\nDFGH, BCDF, DEGH
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 2.
\nFrom example 7 given in text book (Page No – 237) can you find m \u2220I and m\u2220G by any other method. (Page No. 237)
\nSolution:
\nAs \u2220R = \u2220N = 70\u00b0 and \u2220I = \u2220G = x\u00b0 say
\n\u2220R + \u2220I + \u2220N + \u2220G = 360\u00b0
\n70\u00b0 + x\u00b0 + 70\u00b0 + x\u00b0 = 360\u00b0
\n2x = 360\u00b0 – 140\u00b0 = 220\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions Chapter 12 Quadrilaterals InText Questions and Answers. AP State Syllabus 7th Class Maths Solutions 12th Lesson Quadrilaterals InText Questions Try This\u00a0 Question 1. Is quadrilateral EFGH a convex quadrilateral ? (ii) Is quadrilateral TUVW a concave quadrilateral? 0ii) Draw both the diagonals for quadrilateral EFGH. Do they … Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":37865,"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-12-Quadrilaterals-InText-Questions.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/11122"}],"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=11122"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/11122\/revisions"}],"predecessor-version":[{"id":37866,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/11122\/revisions\/37866"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/37865"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=11122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=11122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=11122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}