Question

state if the theorem you would use to determine that the two triangles are congruent.

Explanation:

Step1: Recall the HL (Hypotenuse - Leg) theorem

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

Step2: Identify the given information

We have two right - triangles (as indicated by the right - angle marks). The hypotenuse (the side opposite the right - angle) and one leg of each triangle are marked as congruent.

Answer:

HL (Hypotenuse - Leg)