Question

In Triangle ABC and Triangle PQR, L(AB) =L(PR),angle A =angle R,angle B = angle P. Write the correspondence for which the given are congruent
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Answer 1

In △ABC and △PQR
∠C=∠P (Given)
∠B=∠Q (Given)
∠A=∠R (Third angle of the triangle)

Thus, △ABC∼△PQR
Also, given, AB=AC
Thus, ∠B=∠C (Isosceles triangle Property)

But, ∠B=∠Q and ∠C=∠P
Hence, ∠Q=∠P
or PR=QR

Thus, both the triangles are Isosceles but not congruent.