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.
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?