Lemmara logoLemmaraWorked solution

4MA1/1FR Jun 2019, Question 14: Describing Transformations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Use the grid to translate shape P by the vector (−5, 2), then fully describe the single transformation mapping shape P onto shape T.

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

Part (a) · 1 mark

Draw shape P moved by the column vector (−5, 2) on the grid.

  1. 1Vector (−5, 2) means 5 left and 2 up
  2. 2Each vertex (x, y) moves to (x − 5, y + 2), e.g. (2, 1) → (−3, 3)
  3. 3New vertices: (−3, 3), (−1, 3), (−1, 6), (−2, 6), (−2, 4), (−3, 4)
  4. 4Shape P moved 5 left and 2 up, with vertices (−3, 3), (−1, 3), (−1, 6), (−2, 6), (−2, 4), (−3, 4)

AnswerShape P moved 5 left and 2 up, with vertices (−3, 3), (−1, 3), (−1, 6), (−2, 6), (−2, 4), (−3, 4)

Part (b) · 3 marks

Describe fully the single transformation that takes shape P onto shape T.

  1. 1T is P turned a quarter turn, so it is a rotation
  2. 2Each point (x, y) goes to (y, −x): (2, 1) → (1, −2), (4, 1) → (1, −4)
  3. 3That rule is a 90° clockwise turn about (0, 0)
  4. 4Rotation 90° clockwise about the origin (0, 0)

AnswerRotation 90° clockwise about the origin (0, 0)

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

Practise more describing transformations questions

Real 4MA1 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: 4MA1 1FR June 2019 · 4MA1/1FR · 4ma1 jun19 1fr · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.