Question

18 multiple choice 1 point state whether these triangles are congruent by hl, if not select no. a) hl b) none a b

Explanation:

Step1: Recall the HL (Hypotenuse - Leg) congruence criterion

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

Step2: Analyze the given triangles

In the given figure, we have two right - triangles (as there is a right angle indicated). The legs (the sides marked with a single tick) are equal, and the hypotenuse (the non - right - angled side of the large isosceles triangle which is split into two right - triangles) is common (so hypotenuses are equal).

Answer:

A. HL