Polygon
A polygon is a two-dimensional geometric figure that is formed by connecting line segments
A polygon is a two-dimensional geometric figure that is formed by connecting line segments. It is a closed shape with straight sides. The word “polygon” comes from the Greek words “poly,” meaning many, and “gonia,” meaning angles.
In order for a figure to be considered a polygon, it must fulfill certain criteria:
1. Closed figure: A polygon must be a closed shape, meaning that all the sides connect to each other and there are no gaps or openings.
2. Straight sides: Each side of a polygon must be a straight line segment. Curved sides are not allowed.
3. Vertices: Vertices are the points where two sides of a polygon meet. A polygon must have at least three vertices. If it has more than three vertices, the polygon is called a convex polygon.
4. No self-intersections: The sides of a polygon should not cross or intersect each other within the polygon itself. A polygon with self-intersecting sides is called a non-convex polygon.
Polygons can be classified based on the number of sides they have. Here are some common types of polygons:
1. Triangle: A triangle is a polygon with three sides and three vertices. It is the simplest type of polygon.
2. Quadrilateral: A quadrilateral is a polygon with four sides and four vertices. Examples include rectangles, squares, parallelograms, and trapezoids.
3. Pentagon: A pentagon is a polygon with five sides and five vertices.
4. Hexagon: A hexagon is a polygon with six sides and six vertices.
5. Octagon: An octagon is a polygon with eight sides and eight vertices.
Polygons can also be classified based on their angles:
1. Equiangular: A polygon is equiangular if all of its angles are congruent (equal).
2. Regular: A polygon is regular if all of its sides and angles are congruent.
Understanding polygons and their properties is fundamental in geometry as they form the basis for more complex shapes and concepts.
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