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Class 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.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

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

  3. 3.Which of these has rotational symmetry of order 2 but no line of symmetry at all?

    • a) A square
    • b) The letter A
    • c) The letter S
    • d) An equilateral triangle

  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
    • 0
    • 4
    • 3
    • 2
    • 1

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

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

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

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

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

Answer key — Class 7 Maths — Symmetry

  1. 1. 3
  2. 2. 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
  3. 3. c) The letter S
  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. b) A
  7. 7. 2
  8. 8. 72