Transformations – WJECRotation

In this GCSE Mathletics study guide, we'll go through what happens when shapes are reflected, as well as the different centres of rotation and enlargement and congruent shapes. Transformations change the size or position of shapes. Congruent shapes are identical. Scale factors calculate area and volume of similar shapes.

Part ofMathsGeometry and Measure

Rotation

Rotation turns a shape around a fixed point called the centre of rotation.

Rotation is an example of a transformation. A transformation is a way of changing the size or position of a shape.

Image gallerySkip image gallerySlide1 of 3, A shape that has been rotated 90 degrees (a quarter turn) clockwise about the centre of rotation, The shape has been rotated 90° (a quarter turn) clockwise about the centre of rotation

The triangle PQR has been rotated 90° anticlockwise about the O to create the image P'Q'R'.

A triangle PQR that has been rotated 90 degrees anticlockwise about the origin O to create the image P'Q'R'.

Example

Rotate the triangle PQR 90° anticlockwise about the origin.

Triangle PQR with dashed line from P to the origin

Tracing paper can be used to rotate a shape.

Trace the shape and the centre of rotation.

Hold down the tracing paper with a pencil on the centre of rotation.

Rotate the tracing paper and copy the image.

Tracing paper used to create a rotation of 90 degrees anticlockwise about the origin

Question

Describe the transformation of the rectangle ABCD.

Rectangle ABCD rotated 180 degrees to produce rectangle A'B'C'D'