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ZIMSEC O-Level Mathematics

8.5Constructions and loci

Constructions and loci in ZIMSEC O-Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic41 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 8.5.1Construct triangles, quadrilaterals and other polygons using a ruler and compasses (and a protractor where needed), and make scale drawings.
  2. 8.5.2Construct perpendicular bisectors, angle bisectors, perpendiculars from or at a point, and angles of 30°, 45°, 60° and 90° with a ruler and compasses only.
  3. 8.5.3Construct and use the loci of points equidistant from two points or two lines, or at a fixed distance from a point or a line.

Lessons

  • Geometrical constructions

    25 min

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  • Loci

    20 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Constructions and loci: sample question

1 mark

True or false: a triangle can be constructed with sides of 4 cm, 5 cm and 10 cm.

Is the statement true or false?

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