Question

do these triangles satisfy hl theorem?

obviously not

clearly they do

Explanation:

Step1: Recall HL Theorem

HL (Hypotenuse - Leg) 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: Analyze the given triangles

Both triangles are right - triangles (as indicated by the right - angle symbol). Let's check the congruent parts:

• For the legs: One triangle has a leg with one mark and another leg with two marks. The other triangle has a leg with two marks (corresponding to the leg with two marks in the first triangle) and a leg with one mark (corresponding to the leg with one mark in the first triangle). Also, the hypotenuse of each triangle (the side opposite the right - angle) has one mark, indicating that the hypotenuses are congruent.
• So, we have a right - triangle with hypotenuse and one leg congruent to the hypotenuse and one leg of another right - triangle. So, they satisfy the HL theorem.

Answer:

clearly they do