Question

what information would you need to prove the triangles below are congruent using the hl theorem? ∠o = 90°, ∠p ≅ ∠n, ∠o ≅ ∠r, ∠o = 90°, om ≅ rq, ∠o ≅ ∠r

Explanation:

Step1: Recall HL - Hypotenuse - Leg theorem

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

Step2: Identify right - angles

We need to know that $\angle O = 90^{\circ}$ and $\angle R=90^{\circ}$ to apply the HL theorem. Also, we need to know the congruence of hypotenuses and one pair of legs. Among the given options, we first need to have right - angles in the triangles.

Answer:

$\angle O = 90^{\circ}$ and $\angle R = 90^{\circ}$