Go to content
You will need to be able to use straight edge and a pair of compasses to carry out constructions. Below, the steps for a standard construction are described

Summary/Background

There are four constructions that you should be able to make using a ruler and compasses
A: the perpendicular bisector of a line
B: an equilateral triangle
C: the midpoint of a line
D: the bisector of an angle

Software/Applets used on this page

This page uses jsMath
You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

Glossary

edge

the line connecting two vertices of a graph, also known as arc or line.

perpendicular

one line being at right angles to another.

straight

The type of line produced by a linear equation.

union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA GCSE (9-1) Foundation (UK)G: Properties and ConstructionsG2: Problem Solving with Ruler and CompassConstructions-
CBSE IX (India)GeometryConstructionsLine bisection-
CBSE X (India)GeometryConstructionsDivision of a line segment (to a given ratio)-
CIE IGCSE (9-1) Maths (0626 UK)3 GeometryC3.8 Problem Solving with LociMore Constructions-
Edexcel GCSE (9-1) Foundation (UK)G: Properties and ConstructionsG2: Problem Solving with Ruler and CompassConstructions-
GCSE Foundation (UK)GeometryConstructionConstruction-
OCR GCSE (9-1) Foundation (UK)8: Basic Geometry8.02: Ruler and Compass ConstructionsConstructions-
Universal (all site questions)CConstructionConstruction-