Exploded Squares
Can you create symmetrical designs by cutting a square into strips?
Can you create symmetrical designs by cutting a square into strips?
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
This problem explores the shapes and symmetries in some national flags.
Can you place the blocks so that you see the reflection in the picture?
In how many ways can you fit all three pieces together to make shapes with line symmetry?
How many different symmetrical shapes can you make by shading triangles or squares?
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.