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Rotational Symmetry

Exam code: 4024
Written by: Ashika|Reviewed by: Caroline Carroll|Updated 2 July 2026

Rotational Symmetry

Rotational symmetry

What is the order of rotational symmetry?

  • Rotational symmetry refers to the number of times a shape looks the same as it is rotated 360° about its centre

  • This number is called the order of rotational symmetry

  • Tracing paper can help work out the order of rotational symmetry

    • Draw an arrow on the tracing paper so you can easily tell when you have turned it through 360°

finding the order of rotational symmetry using tracing paper
  • Notice that returning to the original shape contributes 1 to the order

    • This means a shape can never have order 0

    • A shape with rotational symmetry order 1 may be described as not having any rotational symmetry

    • The only time it looks the same is when you get back to the start