Question

based on the information marked in the diagram, \\( \triangle abc \\) and \\( \triangle xyz \\) must be congruent.
a. true
b. false

Explanation:

Step1: Recall congruence criteria

For right - angled triangles, we have criteria like HL (Hypotenuse - Leg). But here, we only know that one pair of hypotenuses is equal (marked with the same tick) and both are right - angled. We don't know about the lengths of the legs.

Step2: Analyze the given information

Just having the hypotenuse equal (one pair of sides) and right angles (one pair of angles) is not sufficient to prove congruence. For example, we could have two right - angled triangles with the same hypotenuse length but different leg lengths.

Answer:

B. False