PrepWisePrepWiseTransformations: Rotations
Geometry & MeasuresIntroduction

Spinning Shapes

Part of Transformations: Rotations — GCSE Mathematics

This introduction covers Spinning Shapes within Transformations: Rotations for GCSE Mathematics. Revise Transformations: Rotations in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 5 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 1 of 6 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 6

Practice

12 questions

Recall

5 flashcards

Spinning Shapes

A rotation turns a shape around a fixed point (the centre of rotation). Like putting a pin through a piece of paper and spinning it. The shape stays the same size and shape - it just faces a different direction!
Rotations diagram

Keep building this topic

Read this section alongside the surrounding pages in Transformations: Rotations. That gives you the full topic sequence instead of a single isolated revision point.

Three Things to StateRotation Formulas about OriginMethod: Rotating a Shape

Practice Questions for Transformations: Rotations

To fully describe a rotation, which three pieces of information are needed?

  • A. Angle, direction and mirror line
  • B. Centre, angle and direction
  • C. Centre, scale factor and direction
  • D. Column vector, angle and centre
1 markfoundation

Shape A has vertices at (2, 1), (4, 1) and (4, 3). Shape B has vertices at (−1, 2), (−1, 4) and (−3, 4). Fully describe the single transformation that maps shape A onto shape B.

3 marksstandard

Quick Recall Flashcards

180° Rotation
(x,y) → (-x,-y). Both coordinates change sign. Same clockwise or anticlockwise!
Describing Rotations
Must state THREE things: Centre (coordinates), Angle (90°/180°/270°), Direction (CW/ACW except for 180°).

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Three Things to State