MathsNet: C - Construction - Equilateral triangle 1

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Page ID: 10121

C | Construction | Construction | «Equilateral triangle 1»

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

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Summary/Background

constructions

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

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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:

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