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Biblioteka

Centre of Rotation

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Notes for your Reference

The transformation that rotates each point in the shape at a certain number of degrees around that point is called rotation.

• The shape rotates counterclockwise when the number of degrees is positive

• rotates clockwise when the number of degrees is negative. The general rule of transformation of rotation about the origin is as follows.

• To rotate 90º: (x,y) → (-y, x)

• To rotate 180º (x,y) → (-x,-y)

• To rotate 270º (x,y) → (y, -x)

Some important point related to Rotation Calculation:

• Center of Rotation

• Axis of Rotation The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

HOW DO YOU FIND THE CENTRE OF ROTATION?

  1. Draw a line between the corresponding points

  2. Construct the perpendicular bisect of these points

  3. Do this for each point until they cross

  4. That is your center of rotation

On a piece of graph paper, draw the shapes given on the side. And follow the instructions given below.