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4MA1/2FR Jun 2022, Question 11: Constructing Triangles

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 2 marks

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The question, in short

Using ruler and compasses only, construct the equilateral triangle ABC with side 6 cm, starting from the given side AB, showing all construction lines.

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

Solution · 2 marks

  1. 1Place compass point on A and set width to length AB.
  2. 2Draw an arc above AB.
  3. 3Place compass point on B and draw another arc above AB, intersecting the first arc.
  4. 4Label the intersection point C.
  5. 5Draw straight lines from A to C and from B to C, completing triangle ABC.

AnswerAn arc of radius 6 cm from A crossing an arc of radius 6 cm from B at C, with AC and BC drawn

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