The following activity explores the possibility of SAS Triangle Congruence.
Segment A'B' is fixed to match the length of segment AB
Segment B'C' are fixed to match the length of segment BC
is fixed to be congruent to
The blue points on triangle ABC will alter the side and angle measurements of the triangle.
The red points allow you to manipulate certain sides lengths and angle measurements of triangle A'B'C'.
Manipulate the red points of A'B'C to become a triangle congruent to triangle ABC. Was it possible? Why or why not?
Can you find a way to manipulate the red points of A'B'C become a triangle different than triangle ABC? If so, what does this mean about SAS Congruence? If not, why not?