ASA Exploration
In the given exploration, the length of segment A'B' is 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. You are free to manipulate all the vertices of triangle ABC, and the lengths of the other sides of triangle A'B'C'. Can you find a way to make a triangle with A' and B' that looks different from triangle ABC? Explain why or why not.