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Transformations - AQADifferent centres of rotation

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape.

Part ofMathsGeometry and measure

Different centres of rotation

Click to explore updated revision resources for GCSE Maths: Rotation, with step-by-step slideshows, quizzes, practice exam questions, and more!

The centre of rotation may not be at the origin.

Example

Rotate the rectangle ABCD 90° clockwise about the point (0,-1).

Graph showing rectangle ABCD rotated about point (0,-1)

Each corner of the image A'B'C'D' is the same distance from the centre of rotation as the original shape.

Rectangle (ABCD) rotated to give rectangle (A'B'C'D')