To determine the number of lines of symmetry in a regular polygon, you need to understand a fundamental property of regular polygons. A regular polygon is a polygon with all sides and all angles equal.
A key characteristic of regular polygons is that the number of lines of symmetry is equal to the number of sides of the polygon. For instance:
- A regular triangle (3 sides) has 3 lines of symmetry.
- A square (4 sides) has 4 lines of symmetry.
- A regular pentagon (5 sides) has 5 lines of symmetry.
Given the problem, we need to find how many lines of symmetry a regular polygon with 22 sides has.
Since a regular polygon with [tex]\( n \)[/tex] sides has [tex]\( n \)[/tex] lines of symmetry, for a polygon with 22 sides, the number of lines of symmetry is:
[tex]\[
22
\][/tex]
Thus, a regular polygon with 22 sides has 22 lines of symmetry.
