Question

which pair of triangles can be proven congruent by the hl theorem?

Explanation:

Step1: Recall 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. So, we need to look for pairs of right - triangles where the hypotenuses and one leg are marked as congruent.

Step2: Analyze each pair

For the first pair, there are no right - triangles. For the second pair, we have two right - triangles where the hypotenuses are marked congruent and one leg is marked congruent. For the third pair, although they are right - triangles, the markings do not show that the hypotenuses and one leg are congruent.

Answer:

The second pair of triangles (the pair with two right - triangles where the hypotenuses are marked congruent and one leg is marked congruent)