Question

determine if the triangles are congruent. explain.
yes - sss
yes - aas
yes - sas
yes - asa
no - not enough information.
yes - hl theorem

Explanation:

Step1: Identify given information

We have two right - angled triangles. There is a pair of non - right angles marked equal and a pair of non - included sides (the sides opposite the marked non - right angles) are equal because they are the same side (the common side between the two triangles).

Step2: Recall congruence criteria

The AAS (Angle - Angle - Side) congruence criterion states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

Yes - AAS