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Year 7 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.How many lines of symmetry does an equilateral triangle have?

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

  3. 3.What is the order of rotational symmetry of a square?

  4. 4.Match each shape to the number of lines of symmetry it has.

    • Scalene triangle
    • Isosceles triangle
    • Rectangle that is not a square
    • Equilateral triangle
    • Square
    • 3
    • 1
    • 2
    • 4
    • 0

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

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

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

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

  8. 8.Sort each shape by whether it has any line of symmetry at all.

    Groups: Has at least one line of symmetry · Has no line of symmetry

    • Rhombus
    • The letter Z
    • Regular pentagon
    • Square
    • Scalene triangle
    • Parallelogram that is not a rhombus or a rectangle

Answer key — Year 7 Maths — Symmetry

  1. 1. 3
  2. 2. 2
  3. 3. 4
  4. 4. Scalene triangle → 0; Isosceles triangle → 1; Rectangle that is not a square → 2; Equilateral triangle → 3; Square → 4
  5. 5. 4
  6. 6. d) A
  7. 7. 72
  8. 8. Square → Has at least one line of symmetry; Scalene triangle → Has no line of symmetry; Rhombus → Has at least one line of symmetry; Parallelogram that is not a rhombus or a rectangle → Has no line of symmetry; Regular pentagon → Has at least one line of symmetry; The letter Z → Has no line of symmetry