Question

state if the two triangles are congruent. if 1)

Explanation:

Step1: Identify congruence criteria

We check for congruence using right triangle congruence (HL: Hypotenuse - Leg). Both triangles are right - angled (right angles marked). The legs with two tick marks are equal (given by the tick marks), and they share the hypotenuse (the diagonal side common to both triangles).

Step2: Apply HL criterion

For right - angled triangles, if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent. Here, the common hypotenuse and the equal legs (marked with two ticks) satisfy the HL (Hypotenuse - Leg) congruence criterion. So the two triangles are congruent.

Answer:

Yes, the two triangles are congruent (by HL congruence criterion as they are right - angled, have a common hypotenuse, and equal legs).