Question

What other information will allow you to prove triangles are congruent by HL theorem?

A. Side lengths and an angle.
B. Side lengths and two angles.
C. Side lengths and a right angle.
D. Side lengths and a hypotenuse.

Answer 1

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

Step-by-step explanation:

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

In order to prove triangles are congruent using the HL theorem, you need to know the side lengths and a right angle.

Therefore, the correct option is C. Side lengths and a right angle.