{"id":15187,"date":"2020-09-10T17:06:20","date_gmt":"2020-09-10T11:36:20","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=15187"},"modified":"2021-07-02T15:01:52","modified_gmt":"2021-07-02T09:31:52","slug":"kseeb-solutions-for-class-7-maths-chapter-7-ex-7-2","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-for-class-7-maths-chapter-7-ex-7-2\/","title":{"rendered":"KSEEB Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.2"},"content":{"rendered":"

Students can Download Chapter 7 Congruence of Triangles Ex 7.2, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths<\/a>, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.<\/p>\n

Karnataka State Syllabus Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.2<\/h2>\n

Question 1.
\nWhich congruence criterion do you use in the following ?
\na) Given : AC = D
\nAB = DE
\nBC = EF
\n\"KSEEB
\nSo, \u2206 ABC = \u2206 DEF
\nSSS congruence criterion<\/p>\n

b) Given : ZX = RP
\nRQ = ZY
\n\u2220PRQ = \u2220XZY
\nSo, \u2206 PQR \u2245 \u2206 XYZ
\n\"KSEEB
\nSAS congruence criterion<\/p>\n

\"KSEEB<\/p>\n

c) Given: \u2220MLN = \u2220FGH
\n\u2220NML = \u2220GFH
\nML = FG
\nSo, \u2206LMN \u2245 \u2206GFH
\n\"KSEEB
\nASA congruence criterion.<\/p>\n

d) Given : EB = DB
\nAE = BC
\n\u2220A = \u2220C = 90\u00b0
\nSo, \u2206 ABC \u2245 \u2206 CDB
\n\"KSEEB
\nRHS congruence criterion<\/p>\n

Question 2.
\nYou want to show that \u2206 ART \u2245 \u2206 PEN,
\n\"KSEEB
\na) If you have to use SSS criterion, then you need to show
\ni) AR =
\nAR = PE,
\nii) RT =
\nRT = EN,
\niii) AT =
\nAT = PN<\/p>\n

b) If it is given that \u2220T = \u2220N and you are to use SAS criterion, you need to have
\n\"KSEEB
\ni) RT =
\nRT = EN and
\nii) PN =
\nPN = AT
\nc) If it is given that AT = PN and you to use ASA criterion, you need to have
\ni) ?
\n\u2220ATR = \u2220PNE and
\nii) ?
\n\u2220TAR = NPE.<\/p>\n

Question 3.
\nYou have to show that \u2206 AMP \u2245 \u2206 AMQ.
\nIn the following proof, supply the missing reasons
\n\"KSEEB
\n\"KSEEB<\/p>\n

Question 4.
\nIn \u2206 ABC, \u2220A = 30\u00b0, \u2220B = 40\u00b0 and \u2220C = 110\u00b0
\nIn \u2206 PQR,<\/p>\n

\"KSEEB<\/p>\n

A student says that \u2206 ABC \u2245 \u2206 PQR by AAA congruence criterion. Is he justified? Why or why not?
\nSolution:
\nNo, he is not justified because AAA is not a criterion for the congruence of triangles.<\/p>\n

Question 5.
\nIn the figure, the two triangles are congruent. The corresponding parts are marked. We can write \u2206 RAT \u2245 ?
\nSolution:
\n\"KSEEB<\/p>\n

Question 6.
\nComplete the congruence statement:
\nSolution:
\n\"KSEEB
\n\u2206 BCA \u2245 ? \u2206 QRS \u2245 ?
\n\u2206 BCA \u2245 ? \u2206 BTA \u2245 ?
\n\u2206 QRS \u2245 ? \u2206 TPQ<\/p>\n

\"KSEEB<\/p>\n

Question 7.
\nIn a squared sheet, draw two triangles of equal areas such that
\n\"KSEEB
\ni) The triangles are congruent.
\nSolution:
\nConsider the \u2206S<\/sup> PQS and SQR<\/p>\n

\"KSEEB
\nIn \u2206 PQS and \u2206 SQR
\nPS = QR = 6 cms
\n\u2220SPQ = \u2220QRS = 90\u00b0
\nQS = QS = common
\nBy RHS congruence criterion
\n\u2206PQS \u2245 \u2206SQR.
\nPerimeter of the \u2206 PQS = PQ + QS + PS
\nPerimeter of the \u2206 SQR = SR + QS + QR
\n\u2234 Perimeter of the \u2206 PQS = Perimeter of the \u2206 SQR (\u2235 PQ = SR & PS = QR)<\/p>\n

ii) the triangles are not congruent. What can you say about their perimeters?
\nSolution:<\/p>\n

\"KSEEB<\/p>\n

\"KSEEB<\/p>\n

\"KSEEB
\n\u2234 area of \u2206 PQS = Area of \u2206 PQM.
\nBy seeing the figure the \u2206 PQS = PQ + PS + SQ = 8 + 6 + 10 = 24 cms.
\nPerimeter of the \u2206 PQM = PQ + PM + QM
\n= 8 + 7.2 + 7.2
\n= 22.4 cms.
\n\u2234 Their perimeters are not equal.
\nPM = QM
\n(PM)2<\/sup> = PN2<\/sup> + MN2<\/sup>
\n= 42<\/sup> + 62<\/sup>
\n= 16 + 36 = 52
\nPM = QM = \\(\\sqrt{52}\\) = 7.2<\/p>\n

Question 8.
\nDraw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.
\nSolution:
\n\"KSEEB
\nConsidering the two triangles PQR and XYZ
\nIn \u2206 PQR and XYZ
\nPQ = XZ = 7 cms
\nPR = YZ = 6 cms
\nRQ = XY = 5 cms
\n\u2220PRQ = \u2220XYZ
\n\u2220PQR = \u2220XZY
\nIn the above 2 triangles 5 pairs of the congruent present. Still, they are not congruent.<\/p>\n

Question 9.
\nIf \u2206 ABC and \u2206 PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?
\n\"KSEEB
\nThe additional corresponding part is BC = RQ by ASA congruence rules<\/p>\n

\"KSEEB<\/p>\n

Question 10.
\nExplain, why \u2206 ABC \u2245 \u2206 FED
\n\"KSEEB
\nSolution:
\n\u2220ABC = \u2220DEF = 90\u00b0
\nBC = DE \u2220ACD = \u2220EDF
\n( \u2235 The sum of the measures of three angles of a triangle is 180\u00b0.)
\n\u2234 \u2206 ABC \u2245 \u2206 DEF
\n(By ASA congruence criterion.)<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Chapter 7 Congruence of Triangles Ex 7.2, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations. Karnataka State Syllabus Class 7 Maths Chapter 7 Congruence of Triangles Ex 7.2 Question 1. Which congruence …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[84],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/15187"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=15187"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/15187\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=15187"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=15187"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=15187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}