Question

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

Explanation:

Step1: Recall congruence criteria

For right - angled triangles, the Hypotenuse - Leg (HL) congruence criterion states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

In \(\triangle ABC\) and \(\triangle DEF\), \(\angle A=\angle D = 90^{\circ}\). The legs \(AB = DE\) (marked with one tick) and the hypotenuses \(BC=EF\) (marked with two ticks).

Answer:

A. True