Polygons

A polygon is a closed shape made up of straight line segments. These line segments are called the sides of the polygon. The point where two sides meet is called a vertex. Polygons can be classified by the number of sides they have.

Types of Polygons

There are different types of polygons based on the number of sides:

• Triangle: A polygon with three sides.
• Quadrilateral: A polygon with four sides.
• Pentagon: A polygon with five sides.
• Hexagon: A polygon with six sides.
• Heptagon: A polygon with seven sides.
• Octagon: A polygon with eight sides.
• Nonagon: A polygon with nine sides.
• Decagon: A polygon with ten sides.
• And so on...

Properties of Polygons

Some important properties of polygons include:

• Interior Angles: The sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.
• Exterior Angles: The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees.
• Diagonals: A diagonal is a line segment that connects two non-adjacent vertices of a polygon. The number of diagonals in a polygon can be calculated using the formula n * (n-3) / 2, where n is the number of sides.

Understanding polygons and their properties is important in geometry and spatial reasoning.