Question

which postulate would prove these two triangles are congruent? neither aas asa

Explanation:

In the given triangles, we can see that two angles and the included side (the side between the two angles) seem to be 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, then the two triangles are congruent. Looking at the triangles, the marked angles suggest that the middle angle (vertex angle) and the two base angles with the included base side (between the two base angles) are congruent, which fits the ASA postulate. AAS (Angle - Angle - Side) involves two angles and a non - included side, which is not the case here. So the postulate that proves the triangles congruent is ASA.

Answer:

ASA