- A locus of points is the set of points, and only those points, that satisfy given conditions.
- Every point satisfying the given conditions lies on the locus.
- Every point on the locus satisfies the given conditions.- The locus can be a straight line or a curved line (lines).
- To determine a locus:
- State what is given and the condition to be satisfied.
- Find several points satisfying the condition, which indicate the shape of the locus.- Connect the points and describe the locus fully.
- The locus of points equidistant from the sides of a given angles is the bisector of the angle.
- The locus of points equidistant from two given intersecting lines is the bisectors of the angles formed by the lines.
- The locus of points equidistant from two fixed points is the perpendicular bisector of the segment joining them.
- Locus of a point equidistant from a given point in a plane is a circle.
- The locus of points equidistant from two given parallel lines is a line parallel to the two lines and midway between them.
- Locus of all points at a given distance from a given line is two straight lines parallel to the given line.
