MathsYears 8–9Geometry - Properties of Shapes

Constructions and loci

Use ruler and compasses to construct triangles, bisectors and loci

What you'll learn

  1. 1

    Imagine you're a pirate 🏴‍☠️ hiding treasure on an island! You bury it exactly 5 paces from a big palm tree 🌴 and 3 paces from a rock 🪨.

  2. 2

    What shape do you draw around the tree to show all spots that are 5 paces away?

  3. 3

    Let's find a point that is 4 cm from point A and 3 cm from point B. 📏

  4. 4

    Use the compass to draw a circle with radius 4 around point A. Then do the same around point B with radius 3. Where do they meet?

  5. 5

    If you draw a circle radius 5 cm around point P, and another radius 5 cm around point Q, how many places can the treasure be?

  6. 6

    Now try a harder one: find a point 6 cm from X AND 4 cm from Y. The circles will cross!

  7. 7

    When two circles cross, the crossing points are called...

Practise Constructions and loci with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 12–14. Aligned to the UK National Curriculum.