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Question

In triangles ABC and PQR, ∠A = ∠P, AB = PQ and ∠B = ∠Q; then by which congruency criterion are these two triangles congruent?

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Solution


In ABC and PQR,
∠A = ∠P ... (Given)
AB = PQ ... (Given)
∠B = ∠Q ... (Given)
ABC PQR
[ASA congruence rule]

ASA congruence rule: Two triangles are congruent, if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle.

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