Q:

# How many lines of symmetry does a hexagon have?

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A regular hexagon with six equal sides has six lines of symmetry. For all regular polygons, the number of lines of symmetry is equal to the number of sides.

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Credit: aubergene CC-BY 2.0

For regular polygons with an odd number of sides, each line of symmetry bisects one angle and the side opposite. For regular polygons with an even number of sides, the lines of symmetry alternate between bisecting opposite angles, and bisecting opposite sides. It is possible to construct irregular polygons that are symmetrical, but no irregular polygon can have as many lines of symmetry as a regular polygon with the same number of sides.

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## Related Questions

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A regular decagon has 10 lines of symmetry, one line drawn through each vertex and one line drawn through the midpoint of each edge. A line of symmetry indicates where a polygon can be folded in half to form two equal shapes.

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A regular pentagon has five lines of symmetry. An irregular pentagon, with non-equal side lengths and internal angles, may or may not have any lines of symmetry.

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The number of lines of symmetry a triangle has depends on the type of triangle. An equilateral triangle has three lines of symmetry, while an isosceles has one line of symmetry, and a scalene triangle has none.