Rotational Symmetry

Learn how rotational symmetry works, including the centre, angle, and order of rotation. Let's get started! 🚀

Rotational Symmetry - introduction visual

Video Lesson

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Flashcards

Review key concepts visually

Diagram showing a square with an order of rotation symmetry 4, and explanations of the centre of rotation, angle of rotation, and order of symmetry.Rotational symmetry of rectangle, equilateral triangle, and regular hexagon, showing their centre of rotation, angle of rotation, order of symmetry.Illustrating three traffic signs to check for whether they have rotational symmetry, and showing different angles of rotation and orders of symmetry.

🛎️ What is Rotational Symmetry?

  • A shape has rotational symmetry if it looks the same after a turn of less than 360°.
  • The shape is rotated about its centre of rotation.

🛎️ Order and Angle of Rotation

  • The order of symmetry is the number of times a shape matches itself in a full 360° turn.
  • The angle of rotation = 360° ÷ order (e.g. a rectangle has order 2, so the angle is 180°).

🛎️ How to Check for Rotational Symmetry?

  • Rotate the shape around its centre and see if it matches its starting position.
  • If it matches before 360°, the shape has rotational symmetry.

Practice Questions

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Interactive Activity

Explore rotational symmetry by spinning shapes

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