Congruent Triangles Exploration - AAS

Topic:
Triangles

Instructions

The triangle on the right is formed by taking two angles and a side and making them congruent to the corresponding parts of the triangle on the left . We want to explore if the triplet AAS implies that the two triangles MUST be congruent. Try moving the vertices (corners) of the triangle on the right. Try moving the vertices of the triangle on the left.

Why do you think you are not able to move point E?

Do you think if the corresponding parts of two triangles can be described with AAS then they MUST be congruent? Explain why in at least two sentences, or show an example of two triangles that have AAS congruencies that are not congruent [ This is called a counterexample: You can show your example below].