Ch 14.3 SSS Exploration

The following activity explores the possibility of SSS Triangle Congruence.
  • Segment B'C' will always be congruent to segment BC.
  • Segment B'A' will always be congruent to segment BA
  • Segment A'C' will always be congruent to segment AC.
  • The blue points on triangle ABC will alter the side and angle measurements of the triangle.
  • The red points allow you to manipulate side orientations and angle measurements of triangle A'B'C'.
  1. Manipulate the red points of A'B'C to become a triangle congruent to triangle ABC. Was it possible? Why or why not?
  2. 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 SSS Congruence? If not, why not?