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10 lines. Regular polygon of "x" sides has "x" Lines of Symmetry

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Q: How many lines of symmetry would a 10-sided regular polygon have?

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Number of lines of symmetry = Number of sides of the regular polygon

It has 32 lines of symmetry.

A regular five sided pentagon has 5 lines of symmetry.

A polygon need not have any lines of symmetry. The maximum number of lines of symmetry is attained if the polygon is regular; and this is the number of sides (or vertices) of the polygon. If a regular polygon has an even number of sides, then the lines of symmetry are those joining opposite vertices, and those joining the mid-points of opposite sides. If the polygon has an odd number of sides/vertices, the lines of symmetry are those joining each vertex to the mid-point of the opposite side.

24

Related questions

Number of lines of symmetry = Number of sides of the regular polygon

A square has four lines of symmetry!

3

hexagon

It has 32 lines of symmetry.

A regular five sided pentagon has 5 lines of symmetry.

Regular pentagon

How many lines of symmetry does the 15 side polygon have

A regular Undegon (11 sided polygon) has 11 lines of symmetry. It also has an order of rotation symmetry of 11.

a regular square

A polygon need not have any lines of symmetry. The maximum number of lines of symmetry is attained if the polygon is regular; and this is the number of sides (or vertices) of the polygon. If a regular polygon has an even number of sides, then the lines of symmetry are those joining opposite vertices, and those joining the mid-points of opposite sides. If the polygon has an odd number of sides/vertices, the lines of symmetry are those joining each vertex to the mid-point of the opposite side.

A regular 24 sided polygon has 24 lines of symmetry.

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