Lines of symmetry in 2-D shapes · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Lines of symmetry

Mathematics · Geometry · ages 8-10
Name ______________________   Date ____________

  1. How many lines of symmetry does a rectangle have? Count the square as a separate case.

    Answer: ______________

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

    • 2
    • 1
    • 4
    • 0

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

    • 2
    • 4
    • 8

  4. A rectangle that is not a square has 4 lines of symmetry, just like a square.

    Circle one:   True   False

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

    Answer: ______________

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

    Answer: ______________

  7. Which shape has exactly one line of symmetry?

    • Isosceles triangle
    • Square
    • Equilateral triangle
    • Circle

  8. Lena says an equilateral triangle has 3 lines of symmetry. Is Lena right?

    Circle one:   True   False

  9. Which of these figures is NOT line-symmetric?

    • A triangle with three different side lengths
    • A square
    • A regular hexagon

  10. Mia draws every line of symmetry on a plain rectangle. How many does she draw?

    • 1
    • 2
    • 4
    • 0
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Lines of symmetry W1-mt_hRZyKvz1KN-s1

  1. 2 · A plain rectangle has 2: vertical and horizontal. Diagonals do not match.
  2. 4 · A square folds in half 4 ways: vertical, horizontal and two diagonals.
  3. 4 · A square has 4 lines of symmetry: two through the middle of each side, and two through the corners.
  4. False · A non-square rectangle has only 2 lines of symmetry, through the middle of each pair of opposite sides.
  5. 6 · A regular hexagon has 6: 3 through opposite corners and 3 through opposite edges.
  6. 6 · A regular hexagon has 6 equal sides, and each of its 6 lines of symmetry pairs up matching sides or corners.
  7. Isosceles triangle · An isosceles triangle mirrors once. The square has 4, the equilateral triangle 3, the circle endless.
  8. True · Lena is right: each corner to opposite middle is a mirror line.
  9. A triangle with three different side lengths · A triangle with three different side lengths has no matching halves, so no fold line lines up both sides. Squares and hexagons are line-symmetric.
  10. 2 · A plain rectangle has 2 mirror lines.
Worksheet · LightMySky