Worked Example: 90° Rotation

Part of Transformations: Rotations · Section 5 of 7

Study NotesUnit: Geometry & MeasuresGCSE

This study notes covers Worked Example: 90° Rotation 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 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Worked Example: 90° Rotation

Rotate point (4, 2) by 90° clockwise about the origin.

Step 1 Use the formula

90° CW about origin: (x, y) → (y, -x)

Step 2 Apply to point

(4, 2) → (2, -4)

Step 3 Write answer

Image: (2, -4)

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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