Hammond Maths- Loci (revision world)

Loci

This section covers Loci within Geometry and Measures.

A locus is a set of points satisfying a certain condition. For example, the locus of points that are 1cm from the origin is a circle of radius 1cm centred on the origin, since all points on this circle are 1cm from the origin.

N.B. if a point P is ‘equidistant’ from two points A and B, then the distance between P and A is the same as the distance between P and B, as illustrated here:

The points on the line are equidistant from A and B

Don’t let the term 'locus' put you off. Questions on loci (which is the plural of locus) often don’t use the term.

Example

The diagram shows two points P and Q. On the diagram shade the region which contains all the points which satisfy both the following: the distance from P is less…