Rotational symmetry

Rotational symmetry of a rectangle

A rectangle can be rotated about its centre by half a turn. The result looks exactly like the original rectangle. This is called rotational symmetry.

Rotational symmetry of a rectangle

Rotational symmetry of a rectangle

Let’s count the order of rotational symmetry.

Rotational symmetry of a regular 5-point star

Rotational symmetry of a regular 5-point star

Rotational symmetry of a regular 5-point star

A regular 5-point star.

We say that the star has rotational symmetry of order {5}.

curriculum-key-fact
If a shape only fits into itself once, it has no rotational symmetry. We also state that it has rotational symmetry of order 1.
Question

What is the order of rotational symmetry for each of the following shapes?

Diagram of four different shapes
Diagram showing the rotational symmetry of four different shapes
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