The number of lines of symmetry of any regular polygon is equal to the number of sides. Is that correct?
Yes.
http://www.mathsisfun.com/geometry/symmetry-line-plane-shapes.html
Yes, that statement is correct. The number of lines of symmetry of a regular polygon is equal to the number of sides it has.
To understand why this is true, let's break it down. A regular polygon is a polygon in which all sides are equal in length and all angles are equal. Examples of regular polygons include equilateral triangles, squares, and pentagons.
To find the number of lines of symmetry of a regular polygon, you need to consider how many lines can be drawn through the center of the polygon that result in two halves that are identical. These lines are called lines of symmetry.
For any regular polygon, there will always be a line of symmetry passing through each vertex. This is because if you draw a line from the center of the polygon to a vertex, you will have two identical halves on either side of the line. Therefore, the number of lines of symmetry in a regular polygon is equal to the number of vertices.
Since the number of vertices in a regular polygon is equal to the number of sides, we can conclude that the number of lines of symmetry in a regular polygon is indeed equal to the number of sides.
So, for example, a regular triangle (which has 3 sides) has 3 lines of symmetry, a regular square (which has 4 sides) has 4 lines of symmetry, and a regular pentagon (which has 5 sides) has 5 lines of symmetry.