Question

question 10 of 10
based on the information marked in the diagram, △xyz and △rst must be congruent.
a. true
b. false

Explanation:

Step1: Recall congruent triangle criteria

Congruent triangles require all corresponding sides and angles to be equal. The criteria for congruence are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Analyze given information

In the diagram, we only know that one pair of angles (the right - angles) and one pair of non - hypotenuse sides (the marked sides) are equal. But we don't know if the other sides (the hypotenuses or the other legs) are equal. There is not enough information to apply any of the congruence criteria.

Answer:

B. False