Folding Shapes into Mirror Halves
Age 11 · Maths
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.
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Age 11: open this week
Browse Age 11In the picture
- Square folded along a diagonal: the two halves lie exactly on top of each other
- Square with its creases: four lines of symmetry crossing at the centre
- 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
Key takeaways
- A square has exactly 4 lines of symmetry
- A circle has infinitely many lines of symmetry, all passing through its centre
Quiz: Folding Shapes into Mirror Halves (Age 11)
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How many lines of symmetry does a square have?
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How many lines of symmetry does a circle have?
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What makes a line a line of symmetry?
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