What does polygon mean?

A polygon is a closed, flat geometric figure with multiple straight sides, consisting of points connected by intersecting straight lines. Characteristics of a polygon include sides, vertices, angles, and diagonals, as well as the interior of an enclosed area. Based on the number of sides and angles, polygons can be divided into triangles, quadrilaterals, pentagons, etc. Properties of polygons include that the sum of the number of sides and angles is 2n, that the sum of the interior angles is (n-2) x 180 degrees (where n is the number of sides), and that the lengths of the sides and interior angles of a regular polygon are equal.

Polygon: Polygon in Geometry

A polygon is a closed, flat shape in geometry with multiple straight sides. It consists of a series of points connected by line segments that form a series of intersecting straight lines.

Characteristics of a polygon:

• Side: The straight line segments that form a polygon.
• Vertex: The point where the edges intersect.
• Angle: The angle formed by adjacent sides.
• Diagonal: A line segment connecting any two non-adjacent vertices in a polygon.
• Polygon interior: The area enclosed by the polygon’s edges and vertices.

Classification of polygons:

Polygons can be divided into different types according to the number of sides and angles:

• Triangle: 3 sides and 3 angles
• Quadrilateral: 4 sides and 4 angles
• Pentagon: 5 sides and 5 angles
• Hexagon: 6 sides and 6 angles
• Polygon: Generally, the number of sides and angles is greater than 6

Properties of polygons:

• The sum of the number of sides and angles of a polygon is 2n, where n is the number of sides.
• The sum of the interior angles of a polygon is (n-2) x 180 degrees, where n is the number of sides.
• A regular polygon has equal sides and equal interior angles.
• The diagonals of a convex polygon are all inside the polygon.

The above is the detailed content of What does polygon mean?. For more information, please follow other related articles on the PHP Chinese website!