Question

decide whether enough information is given to prove that the triangles are congruent using the hl congruence theorem. (\triangle pqt, \triangle srt) explain. yes no

Explanation:

Step1: Recall the HL Congruence Theorem

The HL (Hypotenuse - Leg) Congruence 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: Check the given information

We are not given any information that the triangles \(\triangle QOT\) and \(\triangle SRT\) are right - triangles. Without knowing that they are right - triangles, we cannot apply the HL Congruence Theorem.

Answer:

No. We are not given that \(\triangle QOT\) and \(\triangle SRT\) are right - triangles, so the HL Congruence Theorem cannot be applied.