Question

angle - angle - side corresponding vs. non - corresponding sides (aas - c vs. aas - nc)
for aas to guarantee congruent triangles, what must be true?

Explanation:

In the Angle - Angle - Side (AAS) congruence criterion, for it to guarantee congruent triangles, the side must be non - included and correspond to a side of the other triangle. That is, two angles and a non - included side of one triangle must be congruent to the corresponding two angles and non - included side of another triangle.

Answer:

The non - included side must be corresponding.