Rotating a Shape
(KS2, Year 6)

Rotating a Shape

A shape can be rotated. When a shape is rotated, each point on the shape is turned by an angle about a centre of rotation.

How to Rotate a Shape

Rotating a shape is easy.


Rotate the shape below by 60° clockwise about the point (3, 1).
rotate a shape example



Plot the centre of rotation. In our example, the Cartesian coordinates of the centre of rotation is (3, 1). It is 3 units along the x-axis and 1 unit up the y-axis. rotate_a_shape_example_step_1
Each point on the shape is rotated by the same amount. Let us choose a point on the shape and rotate it. We will rotate point A.


Draw a line from the centre of rotation to point A. rotate_a_shape_step_2


Measure the length of this line. rotate_a_shape_step_3


Measure the angle of rotation (60°) from the line. Using a protractor, find 60° clockwise from the line found. Mark this angle. rotate_a_shape_step_4


Draw a line from the centre of rotation. It must be the same length as the line in Step 3 and be at the angle found in Step 4. rotate_a_shape_step_5
Point A has been rotated 60° about (3, 1) to find A', the corresponding point on the rotated shape.rotate_a_shape_point_A_answerRepeat for points B and C:rotate_a_shape_example_A_B_C


With all the vertices (corners) of the shape rotated, the rotated shape can be drawn:

rotate a shape answer

Lesson Slides

The slider below shows another real example of how to rotate a shape.
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This page was written by Stephen Clarke.