Question

the hl congruence theorem quick check
malik is comparing 2 right triangles. both triangles have a hypotenuse of 13 units. the first triangle has a leg of 12 units and the other triangle has a leg of 5 units. how could malik prove that the two triangles are congruent? (1 point)
he could apply hl congruence theorem because the hypotenuses are congruent and each have a right angle.
he could apply the pythagorean theorem to find the missing side lengths and then compare corresponding sides to apply hl.
he can conclude that they are congruent because they are both right triangles.
he could use the given side lengths and apply the concept of hl.

Explanation:

The HL (Hypotenuse - Leg) Congruence Theorem requires the hypotenuse and one leg of a right - triangle to be congruent to the hypotenuse and corresponding leg of another right - triangle. First, we need to find the missing leg lengths using the Pythagorean Theorem ($a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a,b$ are the legs) to show that the corresponding legs are congruent. Then we can apply HL.

Answer:

He could apply the Pythagorean Theorem to find the missing side lengths and then compare corresponding sides to apply HL.