Geometry & MeasuresStudy Notes

Worked Example: 90° Rotation

Part of Transformations: Rotations — GCSE Mathematics

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. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 5 of 6 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 6

Practice

12 questions

Recall

5 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

Worked Example: 90° Rotation

Worked Example: 90° Rotation

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Practice Questions for Transformations: Rotations

Quick Recall Flashcards

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