What Are the Key Features of Regular and Irregular Polygons?

Polygons are really cool shapes, and they have some interesting features! Let’s explore the world of regular and irregular polygons!

Regular Polygons

1. What It Is: A regular polygon has all sides and angles the same. Examples are equilateral triangles and squares.
2. Features:
   • Equal Sides: All sides are the same length.
   • Equal Angles: Each inside angle is the same.
   • Symmetry: Regular polygons can be folded in different ways to match up. For example, a regular pentagon has 5 lines of symmetry!
   • Formula: To find the total of the inside angles of an $n$-sided polygon, use the formula $180(n - 2)$.

Irregular Polygons

1. What It Is: An irregular polygon has sides and angles that are not all the same. Think of a kite or a shape that looks uneven!
2. Features:
   • Unequal Sides: The lengths of the sides can be very different.
   • Unequal Angles: Inside angles can be different too.
   • Lines of Symmetry: Irregular polygons usually have fewer lines of symmetry than regular polygons.

Polygons are not just pretty; they also help us learn more about shapes and geometry. Keep checking out these shapes, and you’ll find even more amazing geometric facts!