Question

is \\( \triangle a b c \cong \triangle d e f \\) ? explain.

Explanation:

Step1: Recall the HL (Hypotenuse - Leg) congruence criterion

The HL congruence criterion states that if the hypotenuse and one leg of a right - triangle are congruent to the hypotenuse and one leg of another right - triangle, then the two right - triangles are congruent.

Step2: Identify the parts of the triangles

In \(\triangle ABC\) and \(\triangle DEF\), \(\angle C=\angle F = 90^{\circ}\) (right angles). Let's assume \(AB = DE\) (hypotenuses, as they are the sides opposite the right angles) and \(AC=DF\) (legs).

Answer:

Yes, the triangles are congruent by HL.