Mathematics

Mathematics

Problem

Triangles PQRPQR and PSRPSR are such that ∠PQR=∠PSR=90∘\angle PQR = \angle PSR = 90^{\circ}, PRPR is common to both triangles and QR=SRQR = SR. Answer the following: a. (i) Identify the congruence criterion that proves △PQR≅△PSR\triangle PQR \cong \triangle PSR. b. (ii) Write any one pair of corresponding angles that become equal after the triangles are proved congruent.

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