AAS Exploration
In the given exploration, the measures of the angles at A' and B' are fixed so that they always match the angles at A and B. In addition, segment B'C' will always be congruent to segment BC. You are free to manipulate all the vertices of triangle ABC, and the lengths of the other sides of triangle A'B'C' in order to test to see if Angle-Angle-Side is a criteria for triangle congruence. Can you find a way to make the two triangles look different from each other? Explain why or why not.