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

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

## 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.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic |
---|---|---|---|

AQA GCSE (9-1) Foundation (UK) | G: Properties and Constructions | G2: Problem Solving with Ruler and Compass | Constructions |

CBSE IX (India) | Geometry | Constructions | Line bisection |

CBSE X (India) | Geometry | Constructions | Division of a line segment (to a given ratio) |

CIE IGCSE (9-1) Maths (0626 UK) | 3 Geometry | C3.8 Problem Solving with Loci | More Constructions |

Edexcel GCSE (9-1) Foundation (UK) | G: Properties and Constructions | G2: Problem Solving with Ruler and Compass | Constructions |

GCSE Foundation (UK) | Geometry | Construction | Construction |

OCR GCSE (9-1) Foundation (UK) | 8: Basic Geometry | 8.02: Ruler and Compass Constructions | Constructions |

Universal (all site questions) | C | Construction | Construction |