Table of Contents
What is the Meaning of a Polygon?
A polygon is a closed figure with straight sides.
What are the Different Types of Polygons?
There are four types of polygons: convex, concave, star, and regular.
Convex polygons have all of their interior angles less than 180 degrees. Concave polygons have at least one interior angle greater than 180 degrees. Star polygons have at least three points that are not connected by line segments. Regular polygons have all of their interior angles equal and all of their sides the same length.
Properties of a Polygon
A polygon is a two-dimensional, closed shape that is formed by connecting a series of line segments. The line segments that make up a polygon are called its sides, and the point where two sides meet is called a vertex. A polygon is said to be regular if all of its sides are of the same length and all of its angles are the same size. Polygons that are not regular are called irregular. Some common properties of polygons include:
•A polygon is said to be convex if it has at least one point that is not on the edge of the shape. If every point on the shape is on the edge, then the polygon is said to be concave.
•A polygon is said to be self-intersecting if two or more of its sides intersect each other.
•A polygon is said to be equilateral if all of its angles are 60 degrees. It is said to be equiangular if all of its angles are equal in size.
•A polygon is said to be regular if all of its sides are of the same length and all of its angles are the same size.
Interior Angles of a Polygon
In a polygon, the interior angles are the angles between two adjacent sides.
The sum of the interior angles of a polygon is always 360 degrees.
Exterior Angles of a Polygon
The exterior angles of a polygon are the angles formed by the sides of a polygon and the extension of its exterior side.
Area of Polygons
A polygon is a closed figure that is formed by connecting a series of points, called vertices, together. Polygons can be simple or complex, depending on the number of sides. A simple polygon has three or fewer sides, while a complex polygon has four or more sides.
The area of a polygon is the number of square units it takes to cover the polygon. The formula for finding the area of a polygon is A = (1/2)bh, where A is the area, b is the base, and h is the height.
Perimeter of Polygons
A polygon is a plane figure that is bounded by a finite sequence of straight line segments. The perimeter of a polygon is the sum of the lengths of its sides.
Diagonals of a Polygon
A polygon is a closed figure consisting of a finite number of line segments, no two of which are concurrent. The segments that make up a polygon are called its sides, and the points where two sides meet are its vertices.
The diagonals of a polygon are the line segments that connect opposite vertices.
