Understanding Polygons | Classification, Properties, and Calculations

Polygon

A polygon is a two-dimensional geometric shape with straight sides that are connected to form a closed figure

A polygon is a two-dimensional geometric shape with straight sides that are connected to form a closed figure. It is formed by joining line segments called sides. Each side intersects exactly two other sides, with one intersection point at each end. The intersections points are called vertices. The line segment connecting consecutive vertices is called a diagonal.

Polygons can be classified based on the number of sides they have. Here are some common polygons and their corresponding number of sides:

– Triangle: A polygon with three sides. It has three vertices and three interior angles.
– Quadrilateral: A polygon with four sides. Examples include squares, rectangles, parallelograms, and rhombuses.
– 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.

Polygons can also be further classified as regular or irregular. A regular polygon has all sides and angles congruent, while irregular polygons have sides and angles with different lengths and measures.

Additionally, the area and perimeter of a polygon can be calculated using specific formulas based on its properties. The area is the amount of space enclosed by the polygon, while the perimeter is the total length of the polygon’s sides.

More Answers: