Compound transformations

Explore the effect of reflecting in two parallel mirror lines.

Explore the effect of reflecting in two intersecting mirror lines.

Explore the effect of combining enlargements.

Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.

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?