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Geometry · SS1–SS2

Construction & loci

Constructing lines and angles with ruler and compasses, and loci: all the points that obey a rule.

Before this
Angles, triangles & polygons

Learn

  1. 1Ruler-and-compasses constructionsBisecting a line and an angle, constructing 60° and the angles built from it (30°, 90°, 45°, 120°, 75°, 105°), dropping a perpendicular, drawing a parallel line and dividing a line in a ratio.Done16 min
  2. 2Constructing triangles and quadrilateralsSetting out a construction question: sketch first, build the angles, use parallel lines for trapeziums and parallelograms, drop perpendiculars for heights, and check what you measure by calculation.Done15 min
  3. 3LociThe five standard loci (from a point, from a line, equidistant from two points, equidistant from two lines, a right angle on a segment), constructing them, and finding a point that obeys two conditions where loci cross.Done16 min

Practise

Answer construction & loci questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (53)

From 1986–2025: 24 WAEC, 2 NECO, 27 JAMB. Theory questions first, then objective, newest first.

Theory (25)

Objective (28)