Final answer:
A regular polygon has as many lines of symmetry as it has sides, meaning the number of lines of symmetry is directly proportional to the number of sides of the polygon.
Step-by-step explanation:
The relationship between the number of sides of a regular polygon and the number of lines of symmetry it has can be described as follows: A regular polygon has as many lines of symmetry as it has sides. For example, a regular triangle (equilateral triangle) has three lines of symmetry, one for each side. Similarly, a regular pentagon has five lines of symmetry, and this pattern continues for other regular polygons; a regular hexagon has six lines of symmetry, and so on. In essence, for regular polygons, the number of lines of symmetry is equal to the number of sides.
Lines of symmetry in a regular polygon are those that divide the polygon into two identical halves, mirroring each other. It's important to note that this applies to regular polygons, where all sides and angles are equal. If a polygon is not regular, the number of symmetry lines can vary and may not correlate directly with the number of sides.