Compound transformations

Explore the effect of reflecting in two intersecting mirror lines.

Explore the effect of combining enlargements.

Explore the effect of reflecting in two parallel mirror lines.

Can you cut up a square in the way shown and make the pieces into a triangle?

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

Experimenting with variables and friezes.

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

This problem is based on the idea of building patterns using transformations.