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

Give Reasons
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Solution

We have given, in ΔABC and ΔPQR, ∠A = ∠Q and ∠B = ∠R


Since, AB and QR are included between equal angles.

Hence, the side of ΔPQR is QR which should be equal to side AB of ΔABC, so that the triangles are congruent by the rule ASA.

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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 1. | Page 65
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