This deep dive covers Method: Rotating a Shape within Transformations: Rotations for GCSE Mathematics. Revise Transformations: Rotations in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 5 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 4 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Method: Rotating a Shape
1Mark the centre of rotation
2Use tracing paper OR rotation formulas
3Rotate each vertex individually
4Join up the rotated vertices
5State: centre, angle, direction
Practice questions for Transformations: Rotations
To fully describe a rotation, which three pieces of information are needed?
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.
Quick recall flashcards
Describing Rotations
Must state THREE things: Centre (coordinates), Angle (90°/180°/270°), Direction (CW/ACW except for 180°).
180° Rotation
(x,y) → (-x,-y). Both coordinates change sign. Same clockwise or anticlockwise!