Use transformations to explore relationships between shapes.

1) Which triangles are congruent? Why are the triangles congruent? Prove your answer (beyond saying "same size and shape").
2) Which triangles can you get to lay perfectly over the gray triangle?
3) What did you need to do to get the triangles to perfectly lay over the gray triangle?
4) Describe the relationship between the pink triangle and the green triangle. Be detailed.
5) Describe the relationship between the gray triangle and the darker blue triangle (triangle d). Be detailed.
6) Describe the relationship between the turquoise triangle and the pink triangle. Be detailed.