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Question

From the information shown in the figure, state the test assuring the congruence of ABC and PQR. Write the remaining congruent parts of the triangles.

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Solution

​In △ABC and △QPR
AB = PQ (Given)
BC = PR (Given)
∠A = ∠Q = 90 (Given)
By RHS test of congruency
△ABC ≅ △QPR
∠B = ∠P (corresponding angles of congruent triangles)
∠C = ∠R (corresponding angles of congruent triangles)
​AC = QR (corresponding sides of congruent triangles)

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