Question

select the triangle congruence theorem that proves these two triangles congruent, if possible. if they are not congruent, or there is not enough information, select neither

sas
ssa
aas
hl

Explanation:

Step1: Identify right - angled triangles

The two triangles formed from the rectangle are right - angled triangles as indicated by the right - angle symbols.

Step2: Identify congruent sides

The diagonal is a common side (hypotenuse for both right - angled triangles) and one of the non - hypotenuse sides of each triangle is marked as congruent.

Step3: Recall congruence theorem

The Hypotenuse - Leg (HL) congruence theorem states that if the hypotenuse and a leg of one right - angled triangle are congruent to the hypotenuse and a leg of another right - angled triangle, the two triangles are congruent. Here, we have the hypotenuse (common diagonal) and a leg congruent for the two right - angled triangles.

Answer:

HL