Transformation: Rotation

Rotation is turning or twisting a shape about a specified point. Shapes are rotated either clockwise or anticlockwise
by a given number of degrees.

Data

A full rotation or turn is 360°

A quarter rotation or turn is 90°

A half rotation or turn is 180°

A three quarter rotation or turn is 270°

The point about which the shape rotated is called the 'centre of rotation' and it can be inside or outside of the shape. The centre of rotation remains fixed and all points on the shape move around it - the distance from any point on the shape to the centre of rotation remains the same.

Data

In the example above the centre of rotation is coordinate (0,0)

Shape A is rotated 90° clockwise to form shape B or rotated 180° to form shape C
or rotated 270° to form shape D.

Shape A could also be rotated 90° anticlockwise to form shape D.

Some more examples

Data

Shape A is rotated 90° clockwise about a centre of rotation (-3,2) to form shape B.

Shape C is rotated 90° anticlockwise about a centre of rotation (4,2) to form shape D.

Shape E is rotated 90° clockwise about a centre of rotation (-5,-1) to form shape F.

Shape D is rotated 180° about a centre of rotation (3,-3) to form shape H.

The best way to learn this is by practise. Download and print some quartered squared paper  from the 11plusforparents Printable Resources page, draw on some shapes and have your child rotate them in various ways about different centres of rotation.

This Interactive Rotation Grid from 'Maths is' Fun will help to practise translation.

Try this Translation, Rotation and Reflection worksheet from 'superteacherworksheets'.

 








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