In and , it is given that , and . Will these data alone guarantee that the two…

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In △PQR\triangle PQR and △XYZ\triangle XYZ, it is given that ∠P=∠X\angle P = \angle X, ∠R=∠Z\angle R = \angle Z and QR=XZQR = XZ. Will these data alone guarantee that the two triangles are congruent? Give a brief reason naming the congruence criterion, if any.

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