**What is Rotational Symmetry?**

If you take a shape and turn it through a full circle (360°), the shape sometimes looks exactly the same as it did before you rotated it. This is rotational symmetry.

**Example 1: Geometric Shapes**

If you took a square and rotated it through a full turn, it would look exactly the same four times (after a quarter turn, half turn, three quarters of a turn and a full turn)

We call this a rotational symmetry of **order 4**

If you took a rectangle and rotated it a full turn, it would look the same twice (after half a turn and a full turn)

We call this a rotational symmetry of **order 2**

If you took an isosceles triangle and rotated it a full turn, it would look the same only once (after a full turn).

We call this a rotational symmetry of **order 1**

**Example 2: What order of rotational symmetry does this shape have?**

If you rotated this, you would get this same image 3 times (1/3 of a turn, 2/3 of a turn and a full turn)

This has an order of 3.

**Example 3: Which squares would you have to shade for this shape to have an order of 2?**

Order 2 means it would look the same twice. If you divide the full turn (360°) by this you would get that it looks the same every 180°.

If we rotated the shape 180°, the shaded shapes would be in the bottom left corner.

**Example 3: Which squares would you have to shade for this shape to have an order of 4?**

Order 4 means it would look the same twice. If you divide the full turn (360°) by this you would get that it looks the same every 90°.

If we rotated the shape 90°, the shaded shapes would be in the bottom right corner.

If we rotated the shape another 90°, the shaded shapes would be in the bottom left corner.

If we rotated the shape another 90°, the shaded shapes would be in the top left corner.