Question

state how the triangles can be prov congruent, if possible. ssa, not congruent hl sas asa

Explanation:

Step1: Recall congruence criteria for right - angled triangles

For right - angled triangles, the HL (Hypotenuse - Leg) 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 \(\triangle XYZ\), \(\angle B=\angle Y = 90^{\circ}\). The legs \(AB = XY\) (marked as equal) and the hypotenuses \(AC=XZ\) (marked as equal).

Answer:

HL