locus of a point

Locus of a Point

Find and construct the locus of a point equidistant to two given points; midpoint and perpendicular bisector of a lines and angles; perpendicular from a point to a line.

Target Age:

Lesson Overview

By the end of this unit, students will be able to:

  1. find and construct the locus of a point equidistant to two given points;
  2. find and construct the midpoint and perpendicular bisector of a line segment;
  3. find and construct the perpendicular from a point to a line;
  4. find and construct the bisector of an angle.

Curriculum Alignment: Key Stage 3: Geometry and Measures

  • derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line
Last updated on: February 20, 2026

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