HEXAGON
A hexagon is a polygon with six sides and six angles
A hexagon is a polygon with six sides and six angles. It is a flat, two-dimensional shape that is commonly used in geometry. The word “hexagon” comes from the Greek words “hexa” meaning “six” and “gonia” meaning “angle.”
Properties of a hexagon:
1. Number of sides: A hexagon has six sides, which are line segments connecting the vertices (corners) of the shape.
2. Length of sides: In a regular hexagon, all six sides are of equal length. In an irregular hexagon, the side lengths can vary.
3. Sum of angle measures: The sum of all the interior angles of a hexagon is always 720 degrees. Each interior angle of a regular hexagon measures 120 degrees, while in an irregular hexagon, the angle measures can vary.
4. Exterior angles: The exterior angle of a hexagon is the angle formed by extending one side of the hexagon. Each exterior angle of a regular hexagon measures 60 degrees. The sum of all exterior angles is always 360 degrees.
5. Diagonals: A diagonal is a line segment connecting two non-adjacent vertices of a hexagon. A regular hexagon has nine diagonals, while an irregular hexagon may have more or fewer diagonals depending on its shape.
6. Symmetry: A regular hexagon has six lines of symmetry, meaning it can be divided into six equal parts by lines passing through its center.
Some examples of objects resembling hexagons include honeycombs, some nuts and bolts, and stop signs (where the hexagon is used as a symbol).
In geometry, understanding the properties of shapes like hexagons helps in solving various problems involving angles, perimeter, area, and symmetry.
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