Overview
Transformation and Symmetry

Rotational Symmetry

 Video Tutorial

Key Aspects:
  • Rotational Symmetry in Shapes
  • Finding the Centre of Rotation in a Shape
  • Reflecting a Shape Across a Centre of Rotation
  • Identifying Shapes with Rotational Symmetry
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 Revision Cards

1) Characteristics of Shapes with Rotational Symmetry

Properties of point symmetric shapes and an example showing a parallelogram's centre of symmetry and that it looks identical when rotated 180 degrees.

2) Reflecting Across the Centre of Rotation

Instructions for reflecting a triangle over the centre of symmetry, showing the original and reflected triangles with points A, B, C and A', B', C'.

3) Shapes with Rotational Symmetry

How to check for point symmetry in a shape by finding the centre of symmetry and ensuring all line segments intersect at the same point.

4) Shape Without Rotational Symmetry

An example of a non-point symmetric shape and an explanation of why it is not point symmetric.

5) Another Shape Without Rotational Symmetry

A trapezium as an example to show that intersecting lines do not necessarily exhibit point symmetry, due to unequal distances from the centre.

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 Exercises

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