Symmetry

Ages 711

Difficulty adapts to you

Symmetry

A shape has symmetry if you can fold it along a line and both halves match perfectly. That line is called the line of symmetry.

Your goals

  • You can find lines of symmetry in shapes.
  • You can use line of symmetry, reflection correctly.
  • You can imagine folding along the line to see whether both halves match.

Words to know

line of symmetry:
A line that divides a shape into matching mirror-image halves.
reflection:
A mirror image across a line.

Examples

  • 1A square has 4 lines of symmetry.
  • 2A rectangle has 2 lines of symmetry (through the middle). A circle has infinite!

Check these

  • Do not count a diagonal or centre line that does not create matching halves.
  • Keep every number, symbol, label, and unit in its correct place.
  • Show enough working to check how you reached your answer.

Helpful habits

  • Read the whole question before choosing what to do.
  • Show one clear step at a time and check each step.
  • If you are stuck, draw a model, try smaller numbers, or revisit the example.

Now try your own

Create your own symmetry example, solve it, and explain how you checked it.

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