Question

determine if the triangles are congruent. if congruent, select the reason. if not, select not congruent.

Explanation:

Step1: Identify equal angles

$\angle R=\angle U$ (marked as equal angles).

Step2: Identify equal sides

$RS = UV$ (marked with single - hash).

Step3: Identify another equal angle

$\angle S=\angle V = 90^{\circ}$ (right - angles).

Step4: Apply congruence criterion

By ASA (two angles and the included side are equal), $\triangle RST\cong\triangle UVW$.

Answer:

The triangles are congruent by Angle - Side - Angle (ASA).