Lemmara logoLemmaraWorked solution

4MA1/1F Jun 2019, Question 11: Rotation

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Use the given grids to perform a 180° rotation of a triangle about (7, 6), then identify the single transformation taking triangle P to triangle Q.

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

Part (a) · 2 marks

Draw the image of the triangle after turning it 180° around the point (7, 6).

  1. 1In a 180° rotation, (7, 6) is the midpoint of each point and its image
  2. 2(8, 8) → (6, 4), (8, 11) → (6, 1), (10, 11) → (4, 1)
  3. 3Draw the triangle with vertices (6, 4), (6, 1), (4, 1)

Answertriangle with vertices (6, 4) (6, 1) (4, 1)

Part (b) · 2 marks

State the one transformation, with all details, that carries triangle P onto triangle Q.

  1. 1P and Q are mirror images across a vertical line
  2. 2Matching vertices (3, 5) and (−5, 5): midpoint x = (3 + (−5)) ÷ 2 = −1
  3. 3Also (5, 5) and (−7, 5) give x = −1
  4. 4Reflection in x = −1

AnswerReflection in x = −1

Stuck on a step? Read the free lesson: Rotation

Practise more rotation 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 rotation

Also searched as: 4MA1 1F June 2019 · 4MA1/1F · 4ma1 jun19 1f · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.