Regular pentagon
a regular square
Yes, in a regular polygon, the number of sides is directly related to the number of lines of symmetry. A regular polygon with ( n ) sides has exactly ( n ) lines of symmetry. Each line of symmetry can be drawn through a vertex and the midpoint of the opposite side or through the midpoints of two opposite sides, reflecting the polygon across these lines.
A square has four lines of symmetry!
hexagon
3
a regular square
Number of lines of symmetry = Number of sides of the regular polygon
10 lines. Regular polygon of "x" sides has "x" Lines of Symmetry
A square has four lines of symmetry!
It has 32 lines of symmetry.
A regular five sided pentagon has 5 lines of symmetry.
hexagon
3
A regular Undegon (11 sided polygon) has 11 lines of symmetry. It also has an order of rotation symmetry of 11.
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 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.
A regular 24 sided polygon has 24 lines of symmetry.