Lemmara logoLemmaraWorked solution

4024/11 Oct/Nov 2021, Question 13: Describing Transformations

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using the grid with triangles A and B, identify the single transformation taking A to B, then construct triangle C from A by enlargement about (0, −1) with scale factor 2.

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

Part (a) · 2 marks

State the one transformation, with all its details, that carries triangle A onto triangle B.

  1. 1(2, −3) → (−3, 1): move −5 in x and +4 in y
  2. 2Translation by column vector (−5, 4)

AnswerTranslation by column vector (−5, 4)

Part (b) · 2 marks

Draw triangle C, the image of A after enlargement centred at (0, −1) with scale factor 2.

  1. 1Vectors from (0, −1) to A's vertices: (2, −2), (3, −2), (3, 0)
  2. 2Multiply by 2: (4, −4), (6, −4), (6, 0)
  3. 3Add to (0, −1): C has vertices (4, −5), (6, −5) and (6, −1)

AnswerVertices at (6, −1), (6, −5) and (4, −5)

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

Practise more describing transformations questions

Real 4024 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: 4024/11/O/N/21 · 4024_w21_qp_11 · 4024 w21 11 · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.