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 an equilateral triangle have?

    • 1
    • 3
    • 0

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

    • 2
    • 4
    • 8

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

    Circle one:   True   False

  4. Which of these has exactly one line of symmetry: a kite, a square, or a regular hexagon?

    • Kite
    • Square
    • Regular hexagon

  5. A square is turned so it stands on one corner and looks like a diamond. Does it still have 4 lines of symmetry?

    Circle one:   True   False

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

    Answer: ______________

  7. Omar draws a line straight across the middle of a rectangle, left to right, and calls it a line of symmetry. He also draws a line from one corner to the opposite corner and calls that a line of symmetry too. Which line is actually correct?

    • Only the left-to-right line
    • Only the corner-to-corner line
    • Both lines

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

    • A triangle with three different side lengths
    • A square
    • A regular hexagon
LightMySky · lightmysky.comW1-mt_hRZyKvz1KN-s1

Answer key

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

Lines of symmetry W1-mt_hRZyKvz1KN-s1

  1. 3 · Each of the three lines runs from a corner to the middle of the opposite side.
  2. 4 · A square has 4 lines of symmetry: two through the middle of each side, and two through the corners.
  3. False · A non-square rectangle has only 2 lines of symmetry, through the middle of each pair of opposite sides.
  4. Kite · A kite folds evenly along only one line, straight down its middle. The square and hexagon each have more.
  5. True · Rotating a shape doesn't add or remove lines of symmetry, it only changes which way they point.
  6. 6 · A regular hexagon has 6 equal sides, and each of its 6 lines of symmetry pairs up matching sides or corners.
  7. Only the left-to-right line · Folding along the middle line matches the two halves exactly. Folding along the diagonal doesn't, because a rectangle's sides (unless it's a square) are different lengths.
  8. 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.
Worksheet · LightMySky