MathsYears 10–11Geometry - Properties of Shapes

Constructions and loci

Construct triangles, bisectors and perpendiculars using compasses and ruler; solve loci problems

What you'll learn

  1. 1

    Imagine you're a pirate with a treasure map. 'Locus' just means the path a point follows when it obeys a rule.

  2. 2

    Use the number line to show all the points that are exactly 3 steps from 0.

  3. 3

    Let's find the locus of points that are 4 cm from point A.

  4. 4

    Now you try: draw the locus of points that are 3 cm from point B.

  5. 5

    What shape is the locus of points that are always the same distance from a fixed point?

  6. 6

    What about points that are the same distance from two fixed points A and B?

  7. 7

    The line that is the locus of points equidistant from two fixed points is called the...

Practise Constructions and loci with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.