Question

which triangle congruence theorem could you use to prove the following triangles congruent?

Explanation:

Step1: Identify triangle type

Both triangles are right - angled (have a right angle).

Step2: Check hypotenuse and leg

The hypotenuses are marked as equal (one tick mark), and one pair of legs (the ones with two tick marks) are equal.
In 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, the HL (Hypotenuse - Leg) congruence theorem applies.

Answer:

HL (Hypotenuse - Leg)