Question

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

Explanation:

Step1: Identify congruence criteria

We have right - angled triangles with one equal non - hypotenuse side (marked with a single cross). But we don't have enough information about other sides or angles.

Step2: Recall triangle congruence rules

For right - angled triangles, we need either Hypotenuse - Leg (HL), Side - Angle - Side (SAS), Angle - Side - Angle (ASA), Angle - Angle - Side (AAS) or Side - Side - Side (SSS) for congruence. Here we don't have enough elements to satisfy any of them.

Answer:

B. False