Mathematics

Mathematics

Problem

In △PQR\triangle PQR and △XYZ\triangle XYZ, it is given that ∠P=∠X\angle P = \angle X and ∠R=∠Z\angle R = \angle Z. Which one of the following correctly states the reason for the similarity of the two triangles? a) △PQR∼△XYZ\triangle PQR \sim \triangle XYZ by the ASA criterion. b) △PQR∼△XYZ\triangle PQR \sim \triangle XYZ by the AA criterion. c) △PQR∼△XYZ\triangle PQR \sim \triangle XYZ by the SAS criterion. d) The given information is insufficient to conclude that the triangles are similar.

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