Geometry and Measures

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Rotational Symmetry

Geometry and Measures Rotational Symmetry

🎬 Video Tutorial

  • (0:01) Rotational Symmetry: A shape has rotational symmetry if it can be rotated less than 360° and still look the same.
  • (0:16) Centre of Rotation: The fixed point around which a shape rotates. For most regular polygons, it’s the geometric center.
  • (0:42) Order of Symmetry: The number of times a shape matches itself during a 360° rotation. For instance, an equilateral triangle has an order of symmetry of 3.
  • (1:00) Angle of Rotation Formula: Found by dividing 360° by the order of symmetry. For example, a square has an angle of rotation of 90° (360° ÷ 4).
  • (1:20) Rotational Symmetry of Common Shapes: For example, a regular hexagon has rotational symmetry of order 6, and an angle of rotation of 60°.

📂 Revision Cards

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.
1) Rotational Symmetry
Rotational symmetry of rectangle, equilateral triangle, and regular hexagon, showing their centre of rotation, angle of rotation, order of symmetry.
2) Rotational Symmetry of Common Shapes
Illustrating three traffic signs to check for whether they have rotational symmetry, and showing different angles of rotation and orders of symmetry.
3) Check for Rotational Symmetry

🍪 Quiz

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Rotational Symmetry

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Q: True or False: A rectangle has an angle of rotation of 180 degrees and an order of symmetry of 2.

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Q: What is the order of symmetry for an equilateral triangle?

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Q: If a figure has an angle of rotation of 120 degrees, what is its order of rotational symmetry?

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Q: A regular octagon has an order of symmetry of 8. What is the angle of rotation?

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Q: Which of the following shape has rotational symmetry?

Three signs to find the one that has rotational symmetry.

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Q: If you rotate a regular pentagon by 72 degrees, will it look the same?

A grey pentagon with a red arrow indicating a 72-degree rotation, demonstrating rotational symmetry.

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