In and , it is given that , and . Which of the following correctly justifies whether…

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

In △PQR\triangle PQR and △XYZ\triangle XYZ, it is given that ∠P=∠X\angle P = \angle X, ∠Q=∠Y\angle Q = \angle Y and PQ=XYPQ = XY. Which of the following correctly justifies whether the two triangles are congruent? (a) They are congruent by SAS criterion. (b) They are congruent by AAS criterion. (c) They are congruent by ASA criterion. (d) Congruence cannot be proved because PQPQ is not the included side.

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