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.
A hexagon is the simplest shape, and the only regular polygon, with 6 lines of symmetry.
Number of lines of symmetry = Number of sides of the regular polygon
A square has four lines of symmetry!
It has 32 lines of symmetry.
A regular five sided pentagon has 5 lines of symmetry.
3
hexagon
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 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 square
A regular 24 sided polygon has 24 lines of symmetry.