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4MA1/2F Jun 2025, Question 21: Constructing Triangles

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

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The question, in short

Using only ruler and compasses, construct the perpendicular bisector of line segment 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. 1Open the compasses to more than half of AB
  2. 2Draw arcs above and below AB from A
  3. 3Keep the same radius and draw arcs from B
  4. 4Join the two points where the arcs cross

AnswerA straight line through the two crossing points of equal arcs drawn from A and B, cutting AB at right angles at its midpoint, with both pairs of arcs shown

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