4MA1/2FR Jan 2023, Question 18: Constructing Triangles
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 2 marks
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The question, in short
With ruler and compasses only, draw the line that splits angle BAC into two equal halves, keeping every construction arc visible.
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 an arc that intersects AB and AC at two points.
- 2From each of these intersection points, draw arcs inside the angle using the same compass width.
- 3Draw a straight line from A through the point where the two arcs intersect.
- 4This line is the angle bisector of angle BAC and all construction arcs are visible.
AnswerAn arc from A crossing AB and AC, then equal arcs from those two crossing points meeting inside the angle, with a straight line from A through that meeting point
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