What are Polygons?
Polygons are two-dimensional shapes made up of straight lines that are connected to form a closed figure. They are classified based on the number of sides they have, with each side being a line segment. Polygons are commonly studied in geometry and are used to describe and analyze various shapes in the mathematical world.

Key Points:
- Polygons are defined by the number of sides they possess.
- The interior angles of a polygon always add up to a specific total depending on the number of sides.
- Regular polygons have all sides and angles equal, while irregular polygons have varying side lengths and angles.
- Polygons can be convex or concave based on the orientation of their angles.
- Some common examples of polygons include triangles, quadrilaterals, pentagons, hexagons, and octagons.

Types of Polygons:

1. Triangles:
- Triangles have three sides and three angles.
- They are the simplest polygon and are classified based on their angles and side lengths.

2. Quadrilaterals:
- Quadrilaterals have four sides and four angles.
- Examples include squares, rectangles, parallelograms, and rhombuses.

3. Pentagons, Hexagons, Octagons, etc.:
- Polygons with five, six, or eight sides are known as pentagons, hexagons, and octagons, respectively.
- These polygons can have regular or irregular shapes.

Properties of Polygons:
- Polygons can be regular or irregular.
- The sum of interior angles in a polygon can be found using the formula (n-2) * 180 degrees, where n represents the number of sides.
- Polygons can be classified based on the number of sides they possess and the types of angles they exhibit.
In conclusion, polygons are fundamental geometric shapes with various properties and classifications based on their sides, angles, and overall structure. Understanding polygons is crucial for solving geometry problems and analyzing shapes in the mathematical world.