Question

15 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 for two right - angled triangles, if the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two right - angled triangles are congruent.

Step2: Analyze the given triangles

In the given figure, we have two right - angled triangles. The hypotenuse of one triangle is not equal to the hypotenuse of the other triangle (as indicated by the different markings on the hypotenuses). Since the hypotenuse condition of the HL criterion is not met, the triangles are not congruent by HL.

Answer:

B. None