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Grade 7 Math — 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 a square have?

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

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

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

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

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

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

  6. 6.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
    • 1
    • 2
    • 4
    • 3
    • 0

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

Answer key — Grade 7 Math — Symmetry

  1. 1. 4
  2. 2. 3
  3. 3. 6
  4. 4. d) The letter S
  5. 5. 1. Equilateral triangle 2. Square 3. Regular pentagon 4. Regular hexagon 5. Regular octagon
  6. 6. Scalene triangle → 0; Isosceles triangle → 1; Rectangle that is not a square → 2; Equilateral triangle → 3; Square → 4
  7. 7. 72
  8. 8. 3