← Back to the activity

Year 8 Maths — Symmetry

Count lines of symmetry, find the order of rotational symmetry, and work out the smallest turn that leaves a shape looking the same.

Name: ________________________

  1. 1.A shape has rotational symmetry of order 5. What is the smallest turn that leaves it looking the same, in degrees?

  2. 2.Which capital letter has exactly one line of symmetry?

    • a) N
    • b) S
    • c) H
    • d) A

  3. 3.Put these regular shapes in order by how many lines of symmetry they have, fewest first.

    • Square
    • Regular pentagon
    • Regular octagon
    • Regular hexagon
    • Equilateral triangle

  4. 4.How many lines of symmetry does a square have?

  5. 5.How many lines of symmetry does a regular hexagon have?

  6. 6.This triangle has two equal sides. Three lines have been drawn on it. Tap the one that is a line of symmetry.

    Write the number of the part.

    123

  7. 7.What is the order of rotational symmetry of an equilateral triangle?

  8. 8.How many lines of symmetry does a rectangle that is not a square have?

Answer key — Year 8 Maths — Symmetry

  1. 1. 72
  2. 2. d) A
  3. 3. 1. Equilateral triangle 2. Square 3. Regular pentagon 4. Regular hexagon 5. Regular octagon
  4. 4. 4
  5. 5. 6
  6. 6. 1 — the line from the top
  7. 7. 3
  8. 8. 2