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Geometry & MeasuresMedium Exam FrequencyAQAEdexcelOCRWJEC

Constructions

Revise Constructions in Geometry & Measures for GCSE Mathematics with 10 exam-style questions and 5 flashcards. This topic appears regularly enough that it should be part of a solid GCSE revision cycle.

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Knowledge Organiser: Constructions

Summary

Sample Flashcards

Angle Bisector
Line dividing angle into two equal parts. Locus of points equidistant from two lines. Compass arcs from vertex crossing both arms.
60° Construction
Draw arc from point, then arc of same radius from first intersection. Creates equilateral triangle principle. All angles 60°.

Exam questions for Constructions

When constructing the perpendicular bisector of a line segment AB, what must you do with your compass?

  • A. Set the compass to exactly half the length of AB, then draw arcs from A and B
  • B. Set the compass to more than half the length of AB, then draw arcs from A and B that intersect above and below the line
  • C. Set the compass to the full length of AB and draw a single arc from A
  • D. Set the compass to any radius and draw a single arc from the midpoint of AB
1 markfoundation

Explain why compass arcs are used in geometric constructions rather than measuring with a ruler or protractor.

2 markshigher

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10

exam-style questions

5

revision flashcards

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