Question

determine which triangle congruence theorem explains how the triangles are congruent.
side - angle - side congruence theorem
side - side - side congruence theorem
angle - side - angle congruence theorem
hypotenuse - leg congruence theorem

Explanation:

The Angle - Side - Angle (ASA) Congruence Theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In the given triangles, we can observe that two angles and the included side (the side between the two angles) of one triangle are congruent to two angles and the included side of the other triangle.

Answer:

Angle - Side - Angle Congruence Theorem