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Rotating Shapes

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  • (0:01) What is Rotation?: Rotation is a transformation that turns a shape around a fixed point (called the centre of rotation), either clockwise or anticlockwise, by a specific angle (called the angle of rotation).
  • (0:56) Rotating Shapes Using Tracing Paper: Place tracing paper over the shape, fix it at the center of rotation, trace the shape, then rotate the paper by the required angle. Mark the new points and connect them to get the rotated shape.
  • (1:40) Rotating Shapes by Drawing Line:
    For each vertex, draw a line to the centre of rotation, measure its length, then rotate the line segment by the required angle. Mark the new position and connect all points to form the rotated shape.
  • (2:28) How to Find the Centre of Rotation: Draw perpendicular bisectors between corresponding points of the original and rotated shapes. The intersection of the bisectors is the centre of rotation.

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Rotating Shapes

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Q: What is the fixed point around which a shape rotates called?

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Q: What does the angle of rotation describe?

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Q: To rotate a shape 180° around a fixed point, does the direction of rotation matter?

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Q: If you rotate a shape 90° clockwise, then rotate it another 180° clockwise, what is the final position of the shape?

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Q: What is equivalent to rotating a shape 540° clockwise?

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Q: Find the center of Rotation.

 

A coordinate grid showing triangle P, labelled as "Original Shape" in the second quadrant and triangle Q, labelled as "Rotated Shape".

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