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Q: How many lines of symmetry does a regular polygon with x sides have?

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

It has 16 lines of symmetry.

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

It has 32 lines of symmetry.

It depends on how many sides that it has and whether of not it is regular (all the lines of the polygon are of equal length if it is a regular polygon). For regular polygons, the number of symmetry lines is the number of sides if number of sides is an odd number. Otherwise, the number of symmetry lines is double the number of sides. A square has 4 sides and 8 symmetry lines; a triangle has 3 sides and 3 symmetry lines.

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.

It will have 22 lines of symmetry

Yes.Yes.Yes.Yes.

They have the same value.

A polygon has sides A polygon can have any number of side A polygon can not be curved so a circle is not a polygon Regular Polygon Has congruent sides and angles Has lines of symmetry Irregular Polygon Doesn't have any equal sides or angles Doesn't have any lines of symmetry

A polygon with 14 sides can have at most 14 lines of symmetry. This would occur if the polygon was a regular polygon (i.e. all its sides would have to be equal and all its angles would have to be equal). The lines of symmetry would run between the midpoints of opposite sides and between opposite vertices.

A regular octagon which is an eight sided polygon where all the sides are equal.

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