Answer: What is a Hexagon?
In geometry, a hexagon can be defined as a closed two-dimensional polygon with six sides.
Hexagon has 6 vertices and 6 angles also.
Hexa means six and gonia means angles.
Examples
Hexagon – Definition with Examples
Hexagon – Definition with Examples
Non – Examples
Hexagon – Definition with Examples
Hexagon – Definition with Examples
Hexagon in Real Life
We can find the shape of a hexagon in a honeycomb, a football, face of pencil, and floor tiles.
Hexagon around us
hexagon in real life
Related Games
Identify Trapezoid, Hexagon, and Pentagon Game
Identify Trapezoid, Hexagon, and Pentagon Game
Types of Hexagons
Hexagonal shape is classified into several types based on the measure of sides and angles.
Classification of hexagons based on their sides
1. Regular Hexagon
When the length of all the sides and measure of all the angles are equal, it is a regular hexagon. All interior angles of a regular hexagon are 120 degrees each.
regular hexagon
Properties of a Regular Hexagon
All the sides are equal in length.
All the interior angles measure 120°.
All the exterior angles measure 60°.
Since all angles are equal in a regular hexagon, each angle is 120o and the sum of all the interior angles is 720o.
interior angle measure
A regular hexagon can be divided into six equilateral triangles.
six equilateral triangles.
The opposite sides of a regular hexagon are parallel to each other.
opposite side of regular hexagon
A regular hexagon is also a convex hexagon.
Symmetry in regular hexagon:
A regular hexagon has 6 lines of symmetry and a rotational symmetry of order 6
six line of symmetry
Six 60° angles of rotation
6 lines of symmetry Six 60° angles of rotation
2. Irregular Hexagon
In an irregular hexagon, the length of sides and measure of angles do not have the same measure.
regular and irregular hexagon
Classification of hexagons based on their angles
1. Convex Hexagon
For convex hexagons, all of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards. Convex hexagons can be regular or irregular.
convex irregular hexagon
convex regular hexagon
2. Concave Hexagon
For concave hexagons, at least one of its interior angles must be greater than 180° and at least one of its vertex points inwards.
concave hexagon
Properties of Hexagon
It is two-dimensional.
It has six sides, six edges and six vertices.
The sum of the interior angles is 720 degrees.
It has nine diagonals.
Step-by-step explanation: