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In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side BC of ∆ABC so that the two triangles are congruent? Give reason for your answer. - Mathematics

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Question

In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side BC of ∆ABC so that the two triangles are congruent? Give reason for your answer.

Give Reasons

Solution

Given: In triangle ABC and PQR,


∠A = ∠Q and ∠B = ∠R  ...[Given]

BC = RP  ...[For the triangle to be congruent]

Hence, it will be congruent by AAS congruent rule.

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Chapter 7: Triangles - Exercise 7.2 [Page 65]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 7 Triangles
Exercise 7.2 | Q 2. | Page 65
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