Question

if ( abcong pq ) what other piece of infor. do you need to prove the triangles are ( cong ) by hl thm?

Explanation:

Step1: Recall the 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.
In right - triangles \( \triangle ABC\) and \( \triangle PQR\), we are given \(AB\cong PQ\) (one leg).

Step2: Identify the required congruent hypotenuse

For the HL Theorem to apply, we need the hypotenuses of the two right - triangles to be congruent.
The hypotenuse of \( \triangle ABC\) is \(AC\) and the hypotenuse of \( \triangle PQR\) is \(PR\).

Answer:

\(AC\cong PR\)