Lemmara logoLemmaraWorked solution

0580/22 May/Jun 2025, Question 5: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

On a grid, move triangle T using the column vector (0, −2), then give the full single transformation taking T to triangle U.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Shift triangle T by the column vector (0, −2) and draw the result.

  1. 1Move every vertex 2 down: (−2, 1) → (−2, −1), (−1, 1) → (−1, −1), (−1, 3) → (−1, 1)
  2. 2Draw the triangle with vertices (−1, −1), (−1, 1), (−2, −1)

AnswerTriangle at (−1, −1), (−1, 1), (−2, −1)

Part (b) · 3 marks

State the one transformation, with all its details, that carries T onto U.

  1. 1Rotation 90° anticlockwise about (2, 2) sends (x, y) to (4 − y, x)
  2. 2(−2, 1) → (3, −2), (−1, 1) → (3, −1), (−1, 3) → (1, −1), which is triangle U
  3. 3Rotation, 90° anticlockwise, centre (2, 2)

AnswerRotation, 90° anticlockwise, centre (2, 2)

Stuck on a step? Read the free lesson: Describing Transformations

Practise more describing transformations questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on describing transformations

Also searched as: 0580/22/M/J/25 · 0580_s25_qp_22 · 0580 s25 22 · question 5.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.