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Q:

# How many lines of symmetry does a heptagon have?

A:

A regular heptagon has seven lines of symmetry. Each one runs from a vertex to the opposite side, bisecting the side at a 90-degree angle.

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All regular polygons have as many lines of symmetry as they have sides. For regular polygons with an odd number of sides, the lines of symmetry run from vertex to opposite side, as with the heptagon. For regular polygons with even numbers of sides, the lines of symmetry run alternately from vertex to opposite vertex, and from side to opposite side. In each case, the side is bisected at a 90-degree angle. For a polygon to be considered regular, all of its sides must be of equal length.

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## Related Questions

• A:

Circles have an infinite number of lines of symmetry. Any line that bisects a circle through its center is a line of symmetry. Circles are the only Euclidean shape with this property.

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• A:

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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• A:

A rhombus has only two lines of symmetry. A rhombus is a four-sided, two-dimensional shape, also called a diamond, that falls under the category of quadrilaterals. Its sides are the same length, but angles are not 90 degrees.