Question

question 1 of 10
based on the information marked in the diagram, △abc and △xyz must be congruent.
a. true
b. false

Explanation:

Step1: Recall the congruence criteria for right - angled triangles

For right - angled triangles (\(\triangle ABC\) with \(\angle C = 90^{\circ}\) and \(\triangle XYZ\) with \(\angle Z=90^{\circ}\)), we can use the Hypotenuse - Leg (HL) congruence criterion.
The HL 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 right - angled triangles are congruent.
In the given diagram, the hypotenuses (\(AB\) and \(XY\)) are marked as equal (by the tick marks), and the legs (\(BC\) and \(YZ\)) (the non - hypotenuse sides adjacent to the right angle) are also right - angled sides.

Answer:

A. True