Question

which best describes the reason why ∠a≅∠r in the triangles shown? a side - side - side congruency b side - angle - side congruency c corresponding parts of congruent triangles are congruent d the square of the hypotenuse is equal to the sum of the square of the legs

Explanation:

Step1: Identify congruence - relevant parts

In right - triangles $\triangle ABC$ and $\triangle PQR$, we have right - angles $\angle C=\angle P = 90^{\circ}$, $AB = QR$ and $BC=PQ$.

Step2: Recall congruence postulates

The Side - Angle - Side (SAS) congruence postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the two triangles are congruent. Here, the right - angle is the included angle between the two pairs of congruent sides.

Answer:

B. side - angle - side congruency