Question

based on the information marked in the diagram, △pqr and △stu must be congruent.
a. true
b. false

Explanation:

Step1: Identify congruence criteria

In right - angled triangles, we have the Hypotenuse - Angle (HA) congruence criterion. Here, we have right angles $\angle P=\angle S = 90^{\circ}$, a common non - right angle (the marked non - right angles) and the hypotenuses are congruent (the marked equal sides).

Step2: Apply congruence rule

By the HA congruence criterion for right - angled triangles, $\triangle PQR\cong\triangle STU$.

Answer:

A. True