ASA Exploration

Author:
dgibson
In the given exploration, A' is the image of A, and B' is the image of B. The length of A'B' is therefore fixed so that it always matches the length of AB. Also, the measures of the angles at A' and B' are fixed so that they always match the angles at A and B. Manipulate all of the points in order to make two triangles. What do you notice? Can you find a way to make the two triangles different from each other, or do they always end up being congruent? What does this tell you about the relationships between different triangles?