Given: ΔABC and ΔPQR, AB = AC, ∠C = ∠P and ∠B = ∠Q
AB = AC
⇒ ∠B = ∠C (opposite angles to equal sides are equal)
Hence, ΔABC is an isosceles triangle.
∠C = ∠P and ∠B = ∠Q (given)
⇒ ∠P = ∠Q (∵∠B = ∠C)
⇒ QR = PR (opposite sides to equal angles are equal)
Hence, ΔPQR is an isosceles triangle.
So, the two triangles are isosceles but not congruent.
As AAA is not the criterion for a triangle to be congruent.
Hence, option A is correct.
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