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What is rotation of shapes?

What is rotation?
We explain what the term rotation means in geometry, how primary-school children are taught to rotate shapes clockwise or anticlockwise or about the centre, and how to combine rotation with coordinates.

What is rotation of shapes?

Rotating shapes means moving them around a fixed point (clockwise or anticlockwise, and by a certain number of degrees). The shape itself stays exactly the same, but its position in the space will change.


How to rotate shapes

Children need to have a good knowledge of angles before they can carry out tasks involving rotating shapes. They need to know off-by-heart that 90˚ is a quarter turn, 180˚ degrees a half turn, 270˚ a three-quarter turn and 360˚ a full turn.

They may be given a shape like the following one in blue and asked to rotate it 90˚ clockwise about the vertex marked with the red dot:

They should end up with a new shape (in red; the original shape is still shown in blue) like this:

Alternatively, they may be given a shape and asked to rotate it about its centre. In this case, someone started with the pink shape and rotated it 180˚ anticlockwise about the vertex marked with the red cross, resulting in the green shape:

It is a good idea to give children cut-out shapes so that they can physically rotate the shapes to gain a better understanding of this concept. They then need to move onto being able to work out how to rotate the shapes without this support.

Rotating shapes and coordinates

Questions on rotation can be combined with coordinates. For example, a child might be shown this shape:

They might be asked the following question:

If this shape is rotated 90˚ clockwise about point B, what will the co-ordinates of point A be on the newly rotated shape? 

They would then need to rotate the shape (mentally or with the help of a small square) and see where point A would be on the rotated shape (5, 9).

Shapes can also be reflected In a mirror line and translated.

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