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rotation
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Rotation
In geometry, a transformation in which a figure is turned about a given point, known as the centre of rotation. A rotation of 180° is known as a half turn.
Three things are needed to describe a rotation: the angle of rotation, the direction of rotation (clockwise or anticlockwise), and the centre of rotation.
For example, in the diagram, triangle A is mapped onto triangle B by a rotation of 90° clockwise with centre (0,0):
The inverse transformation is the rotation of B back onto A. When a shape is rotated but appears not to have moved it is said to have rotational symmetry. Translation, reflection, and enlargement can also transform shapes.
© RM 2009. Helicon Publishing is division of RM.
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