MathsNet: C - Construction - Equal distance from 2 lines

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Page ID: 10127

C | Construction | Loci | «Equal distance from 2 lines»

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 and an interactive illustration of the construction is shown.

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Summary/Background

A locus is a rule that describes where a point can be positioned on a graph or other diagram. A typical rule could be: all points 3cm from the point (2,5). This would be a circle. Or all points that are the same distance ("equidistant") from the points (1,3) and (5,4). This would be the straight line perpendicular to and bisecting the line between the points.

Software/Applets used on this page

JSXGraph

This page uses JSXGraph

JSXGraph is a cross-browser library for interactive geometry, function plotting, charting, and data visualization in a web browser. It is implemented completely in JavaScript, does not rely on any other library. It uses SVG and VML and is fully HTML5 compliant.

This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA GCSE (9-1) Foundation (UK)	G: Properties and Constructions	G2: Problem Solving with Ruler and Compass	Loci	-
CIE IGCSE (9-1) Maths (0626 UK)	3 Geometry	C3.8 Problem Solving with Loci	Loci	-
Edexcel GCSE (9-1) Foundation (UK)	G: Properties and Constructions	G2: Problem Solving with Ruler and Compass	Loci	-
GCSE Foundation (UK)	Geometry	Construction	Loci	-
OCR GCSE (9-1) Foundation (UK)	8: Basic Geometry	8.02d: Loci	Loci	-
Universal (all site questions)	C	Construction	Loci	-