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4MA1/2F Jun 2019, Question 10: Constructing Triangles

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

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The question, in short

Construct an isosceles triangle ABC with AB = 6 cm and AC = BC = 7 cm, then construct the perpendicular bisector of line DE, showing all construction lines.

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

Part (a) · 2 marks

Using ruler and compasses, construct triangle ABC with AB = 6 cm and AC = BC = 7 cm, showing all construction lines.

  1. 1Set compasses to 7 cm
  2. 2Draw an arc centred at A and an arc centred at B
  3. 3The arcs cross at C
  4. 4Join AC and BC, leaving the arcs visible

AnswerArcs of radius 7 cm centred at A and at B meet at C; C is joined to A and B

Part (b) · 2 marks

Using ruler and compasses, construct the perpendicular bisector of the given line DE, showing all construction lines.

  1. 1Set compasses to more than half of DE
  2. 2Draw arcs centred at D above and below the line
  3. 3With the same radius, draw arcs centred at E
  4. 4Join the two points where the arcs cross

AnswerA straight line through the two crossing points of equal-radius arcs centred at D and E, cutting DE at right angles at its midpoint

Stuck on a step? Read the free lesson: Constructing Triangles

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