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.
1. Adjust the vertices of triangle A'B'C' to make a triangle.
2. Manipulate all the vertices of triangle ABC, to see the relationship between both triangles.
Can you find a way to make the two triangles look different from each other?
Will they always be congruent once you create a triangle?