4MA1/2HR Jan 2020, Question 6: Constructing Triangles
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 2 marks
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The question, in short
Using only ruler and compasses, construct the perpendicular bisector of line AB, showing all construction lines.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1Place compass at point A and draw arcs above and below the line AB.
- 2Without changing compass width, place compass at point B and draw arcs above and below the line AB, intersecting the previous arcs.
- 3Use ruler to draw a straight line through the two points where the arcs intersect.
- 4This line is the perpendicular bisector of AB and must cross AB at its midpoint.
AnswerEqual arcs from A and from B crossing above and below AB, with a straight line drawn through the two crossing points, cutting AB at its midpoint at 90°
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