what method can be used to prove the triangles below are congruent: sas aas asa not possible

Brief Explanations:

The SAS (Side - Angle - Side) congruence postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. The AAS (Angle - Angle - Side) postulate says 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, the triangles are congruent. The ASA (Angle - Side - Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. Looking at the figure, we can see that there are two pairs of corresponding sides congruent and the included angle between them is common, which satisfies the SAS criterion.

Answer:

A. SAS