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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.

Triangles

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Answer

Given in triangles ABC and PQR,

∠A = ∠Q,

∠B = ∠R,

So BC should be equal to RP. That will make, △ABC ≅ △QRP by AAS axiom.

Hence, BC = RP for △ABC ≅ △QRP by AAS axiom.

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