Answer:
A regular polygon is a polygon that has all sides of equal length and all interior angles of equal measure. This means that a regular polygon is both equilateral (all sides are the same length) and equiangular (all angles are the same measure). Regular polygons can have any number of sides, as long as they satisfy these two conditions. Here are a few examples:
1. **Equilateral Triangle**: A regular polygon with 3 equal sides and 3 equal angles, each measuring 60 degrees.
2. **Square**: A regular polygon with 4 equal sides and 4 equal angles, each measuring 90 degrees.
3. **Regular Pentagon**: A regular polygon with 5 equal sides and 5 equal angles, each measuring 108 degrees.
4. **Regular Hexagon**: A regular polygon with 6 equal sides and 6 equal angles, each measuring 120 degrees.
In general, a regular polygon with \( n \) sides will have each interior angle measuring \(\frac{(n-2) \times 180^\circ}{n}\). The symmetry and uniformity of regular polygons make them a fundamental concept in geometry and they frequently appear in various fields of science, art, and architecture.
