Question

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

Explanation:

Step1: Recall the 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: Analyze each pair

• For the first pair: Check if they are right - triangles (they are as they have right angles), and if the hypotenuse and a leg are congruent.
• For the second pair: They are not right - triangles (no right angles marked), so HL theorem does not apply.
• For the third pair: One is a right - triangle and the other is not (based on angle markings), so HL theorem does not apply.

Answer:

The first pair of triangles.