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Folding Shapes into Mirror Halves

A line of symmetry splits a shape into two halves that match exactly when you fold along it. A square has four lines of symmetry, and a circle has so many that you can never count them all.

In the picture

  1. Square folded along a diagonal: the two halves lie exactly on top of each other
  2. Square with its creases: four lines of symmetry crossing at the centre
  3. Circle with its creases: every line through the centre is a line of symmetry

Examples

  • A butterfly’s wings are mirror images of each other across its body
  • Folding a paper heart in half before cutting it out gives two matching sides

Quiz: Folding Shapes into Mirror Halves (Age 11)

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

    • 4
    • 2
    • 8
  2. How many lines of symmetry does a circle have?

    • 4, like a square
    • So many you can never count them all
    • Just 1
  3. What makes a line a line of symmetry?

    • It joins two corners of the shape
    • When you fold along it, the two halves match exactly
    • It cuts the shape into two pieces with the same area

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Maths, Age 11