Order of rotational symmetry Revision Card

AI generatedGeometry and measuresKey Stage 3

Order of rotational symmetry.

A reflection line splits a shape into matching mirror halves.
Rotational order counts matches during one full turn, including the starting orientation.
For a regular -sided polygon, both symmetry counts are .

Example 1

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Smallest rotation

Divide one full turn by the number of matching positions.

Order 3; smallest rotation 120°.

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Smallest rotation

Divide one full turn by the number of matching positions.

Order 4; smallest rotation 90°.

Question 1

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Check answer

Smallest rotation

Divide one full turn by the number of matching positions.

Order 5; smallest rotation 72°.

Question 2

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Check answer

Smallest rotation

Divide one full turn by the number of matching positions.

Order 6; smallest rotation 60°.

Question 3

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Check answer

Smallest rotation

Divide one full turn by the number of matching positions.

Order 8; smallest rotation 45°.

Question 4

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Check answer

Smallest rotation

Divide one full turn by the number of matching positions.

Order 10; smallest rotation 36°.

Question 5

The polygon is regular. Find its order of rotational symmetry and its smallest positive rotation.

Check answer

Smallest rotation

Divide one full turn by the number of matching positions.

Order 12; smallest rotation 30°.