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Q: What is the number of lines of symmetry of a regular polygon?
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What is the rule for the number lines of symmetry of any regular polygon?

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


How many lines of symmetry does a polygon has?

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.


How many lines of symmetry does a plolygon have?

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.


What is the number of lines of symmetry in a regular polygon to the number of sides?

They have the same value.


How many lines of symmetry does a regular polygon have?

A regular polygon has a number of lines of symmetry equal to the number of its sides. For example, a regular pentagon has 5 lines of symmetry, while a regular hexagon has 6. Each line of symmetry divides the polygon into two congruent halves, reflecting the shape across the line.


How many line of symmetry does a regular polygon with x sides have?

A regular polygon with x sides has x lines of symmetry. Each line of symmetry passes through a vertex and the midpoint of the opposite side. For example, a regular hexagon has 6 lines of symmetry, one for each pair of opposite sides. The formula for calculating the number of lines of symmetry in a regular polygon is equal to the number of sides x.


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

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


What relationship exist between the number of sides on a regular polygon and the number of lines of symmetry?

They are the same.


Will the number of lines of symmetry for a polygon always be the same as the number of vertices?

No, a polygon can have fewer lines of symmetry.


Which regular polygon has 4 lines of symmetry?

A square has four lines of symmetry!


How many lines of symmetry does a regular polygon has with 32 sides?

It has 32 lines of symmetry.


What polygon has 5 lines of symmetry?

A regular five sided pentagon has 5 lines of symmetry.