The number of lines of symmetry in a regular polygon of n sides is ____________
A. n
B. 1
C. 2
D. 3

The correct answer is:

A.

n

A regular polygon with

n sides has

n lines of symmetry. Each line of symmetry divides the polygon into two equal halves that can be superimposed onto each other through a reflection. For example:

A regular triangle (

=
3
n=3) has 3 lines of symmetry.
A regular square (

=
4
n=4) has 4 lines of symmetry.
A regular pentagon (

=
5
n=5) has 5 lines of symmetry.
A regular hexagon (

=
6
n=6) has 6 lines of symmetry.
And so on.
Each side of the regular polygon can act as a line of symmetry, and there are

n sides in total.