Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 24 of 28 based on the information marked in the diagram, △fgh …

Question

question 24 of 28 based on the information marked in the diagram, △fgh and △jkl must be congruent. a. true b. false

Explanation:

Step1: Identify congruence criteria

We see right - angled triangles with one pair of equal legs and the hypotenuses equal. By the Hypotenuse - Leg (HL) congruence criterion for right - angled triangles, if the hypotenuse and one leg of a right - angled triangle are congruent to the hypotenuse and one leg of another right - angled triangle, the two triangles are congruent.

Step2: Determine the answer

Since the conditions for HL congruence are met for \(\triangle FGH\) and \(\triangle JKL\), they must be congruent. So the statement is True.

Answer:

A. True