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What you need to know
What you need to know:
A locus (the plural is loci) is any collection of points that share a property. For example, a circle is the locus of all points on a surface that are a precise distance from a particular point – the centre. You may be asked to, using a ruler and compass, construct a locus of a points that could have the property such as being the same distance from two points, or being within a fixed distance from a point as well as a fixed distance from a line.
There are several mathematical constructions that can be done using a compass which you will need to solve many loci problems (and it’s possible that a question may ask to perform these constructions outright, even when no loci problems are involved). These constructions are:
- The perpendicular bisector of a line;
- The perpendicular to a line from a chosen point/at a chosen point;
- The bisector of an angle.
- An angle of 60 \degree (without using a protractor).
You should know that the perpendicular to a line from a point is the shortest distance from that line to that point. Additionally, any lines drawn on you diagram that you use for the construction should not be rubbed out.
Loci and Construction Revision and Worksheets
If you are a Maths Tutor or teacher and you are looking for loci and construction resources then you are in the right place. The revision materials, question sheets and online tests that are presented are suitable for all major exam boards including AQA, Edexcel and OCR. If you would like more loci and construction questions in your question bank then take a look through the resources on this page.
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