Question

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

Explanation:

Step1: Recall HL theorem

The HL (Hypotenuse - Leg) 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: Check for right - triangles

We need to look for pairs of right - triangles (triangles with a right angle).

Step3: Check for hypotenuse and leg congruence

In the first pair of triangles (the top - most pair), we can observe that both are right - triangles (marked with right - angle symbols), and the hypotenuse (the side opposite the right - angle, marked with one tick) and a leg (marked with one cross) are congruent.

Answer:

The top - most pair of triangles.