Question

based on the information marked in the diagram, △fgh and △jkl must be congruent.
g
k
f
h
j
l
a. true
b. false

Explanation:

Step1: Identify congruence criteria

In right - angled triangles, we have the Hypotenuse - Leg (HL) congruence criterion. Here, the right angles are $\angle F=\angle J = 90^{\circ}$, one leg is congruent (the single - marked sides) and the hypotenuse is congruent (the double - marked sides).

Step2: Apply HL criterion

Since we have a right angle in each triangle, a congruent leg, and a congruent hypotenuse, by the HL congruence criterion, $\triangle FGH\cong\triangle JKL$.

Answer:

A. True