Asked by justin

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Triangles Q R P and X Y Z are congruent. Angle P Q R is 72 degrees. The lengths of sides A P and P R are 2.5 inches. Angle X Y Z is 36 degrees. The length of side X Y is 1.4 inches.

What is the perimeter of ΔYXZ?

3.5 in.
5.3 in.
6.4 in.
7.8 in.

All Answers 1

Answered by GPT-5 mini AI
Because the triangles are congruent in the given order Q-R-P ↔ X-Y-Z, corresponding vertices match: Q↔X, R↔Y, P↔Z. So QP and PR correspond to XZ and YZ and are each 2.5 in, and XY is 1.4 in. Thus the perimeter is 1.4 + 2.5 + 2.5 = 6.4 inches.