Rotations

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Can you split each of the shapes below in half so that the two parts are exactly the same?

Use the clues about the symmetrical properties of these letters to place them on the grid.

This problem explores the shapes and symmetries in some national flags.

How many different symmetrical shapes can you make by shading triangles or squares?

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Explore the effect of reflecting in two intersecting mirror lines.

A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?