There are many different types of polygons. To explore them all along with their properties can be a course in itself. Basically, a polygon is a closed plane figure made of three or more sides.
A triangle has the following basic properties:
A quadrilateral has the following basic properties:
A pentagon has the following basic properties:
A hexagon has the following basic properties:
A heptagon has the following basic properties:
An octagon has the following basic properties:
A nonagon has the following basic properties:
A decagon has the following basic properties:
A dodecagon has the following basic properties:
If we classify polygons based on their sides and angles, then the polygons are either regular polygons or irregular polygons.
If a polygon is a regular polygon, all sides are the same and all interior angles are the same. See below some examples of regular polygons. Starting from left to right and from top to bottom, the regular polygons shown below are the triangle, the square, the regular pentagon, the regular hexagon, the regular heptagon, the regular octagon, the regular nonagon, and the regular decagon.
A square is a regular polygon because the sides are equal and each of the four interior angles is equal to 90 degrees.
If a polygon is an irregular polygon, the sides are not the same and the interior angles are not the same. See below some examples of irregular polygons.
For example, a rectangle is an irregular polygon because only opposite sides are equal although each of the four interior angles is equal to 90 degrees.
Polygons can be classified based on the size of the interior angle made by adjacent sides.
If there is an interior angle that is bigger than 180 degrees, the polygon is a concave polygon.
If no interior angle is bigger than 180 degrees, the polygon is a convex polygon.
See the lessons about convex polygons and concave polygons to learn more.
If you can build a polygon so that all interior angles are equal, then the polygon is an equiangular polygon. Notice that the sides of the polygons may not be the same. A rectangle is an equiangular polygon.
A triangle can be further classified into many different types such as scalene triangle, equilateral triangle, isosceles triangle, etc...
See the lesson about types of triangles to learn more
A quadrilateral can be further classified into many different types such as rectangle, parallelogram, rhombus, trapezoid, etc...
See the lesson about types of quadrilaterals to learn more
Polygons are all around. Take a close look around you in your house, at the work place, or in an amusement park, you will find many real life examples of polygons.
Sep 17, 23 09:46 AM
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