Question

state if the two triangles are congruent. if they are, state which theorem you would use.
no
yes, sas
yes, hl
yes, sss

Explanation:

Step1: Recall congruence theorems

The HL (Hypotenuse - Leg) 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 triangles

The two triangles are right - triangles (marked with right - angle symbols). One triangle has a hypotenuse (the longest side, marked with three tick marks) and a leg (marked with one tick mark) that are congruent to the hypotenuse and a leg of the other triangle.

Answer:

Yes, HL