Differentiate between regular polygon and irregular polygon?

A regular polygon is a polygon with all sides and angles that are equal in measure. It has equal sides and equal angles, such as a square or equilateral triangle.

An irregular polygon is a polygon that does not have all sides and angles that are equal in measure. It has sides and angles of different lengths and measures, such as a pentagon or a hexagon with unequal sides and angles.

Regular Polygon

- All sides are equal in length.
- All interior angles are equal in measure.
- All vertices are equally spaced.
- Has a central point that is equidistant from all vertices and sides.
- Can be inscribed in a circle (each vertex lies on the circle).
- Examples: equilateral triangle, square, regular hexagon

Irregular Polygon

- Not all sides are equal in length.
- Not all interior angles are equal in measure.
- Vertices are not equally spaced.
- Does not have a central point that is equidistant from all vertices and sides.
- Cannot be inscribed in a circle.
- Examples: any polygon that does not meet the criteria of a regular polygon (e.g., triangle with two equal sides and one unequal side)