Transformations - EduqasRotation

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

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.

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Image caption,
The shape has been rotated 90° (a quarter turn) clockwise about the centre of rotation
Image caption,
The shape has been rotated 180° (a half-turn) about the centre of rotation
Image caption,
The shape has been rotated 90° (a quarter turn) anticlockwise about the centre of rotation

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

Triangle (PQR) with dashed line from P to the origin and another dashed line from origin to P', where triangle (P'Q'R') sits

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 overlaid and triangle (P'Q'R') drawn in

Question

Describe the transformation of the rectangle ABCD.

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

Different centres of rotation

The equation of the line of symmetry

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