Question

do these triangles satisfy hl theorem?
obviously not
clearly they do

Explanation:

Step1: Recall HL Theorem

HL (Hypotenuse - Leg) theorem applies to right - angled triangles. It 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 triangles are congruent. First, we need to check if the triangles are right - angled.

Step2: Check for Right Angles

Looking at the two triangles, we observe the angle markings. The HL theorem requires right - angled triangles (triangles with a \(90^{\circ}\) angle). In the given triangles, the angle markings do not indicate right angles (the curved markings are for non - right angles, and there is no right - angle symbol). Also, for HL, we need a hypotenuse (the side opposite the right angle) and a leg. Since the triangles do not appear to be right - angled, they cannot satisfy the HL theorem.

Answer:

A. obviously not