AI generatedGeometry and measuresKey Stage 3

Lines of symmetry

Lines of symmetry.

  • A reflection line splits a shape into matching mirror halves.
  • Rotational order counts matches during one full turn, including the starting orientation.
  • For a regular -sided polygon, both symmetry counts are .

Example 1

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
3 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

Example 2

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
4 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

Your turn

Question 1

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
Check answer
5 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

Question 2

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
Check answer
6 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

Question 3

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
Check answer
8 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

Question 4

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
Check answer
10 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

Question 5

The polygon is regular. How many lines of symmetry does it have?

Regular polygonDiagram not to scale
Check answer
12 lines of symmetry.
Symmetry linesDiagram not to scale

Each line divides the shape into matching mirror halves. A regular -gon has reflection axes.

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