Polygons in Geometry

A polygon is a closed figure made up of line segments. The word "polygon" comes from the Greek words "poly," meaning "many," and "gon," meaning "angles." The sides of a polygon are always straight, and the angles between the sides are always less than 180 degrees. 

There are three types of polygons: regular polygons, concave polygons, and convex polygons. Let's take a closer look at each type.

Regular Polygons 

A regular polygon is a polygon that has all angles equal and all sides equal. In other words, all the sides and angles of a regular polygon are congruent. A few examples of regular polygons are shown below.

Concave Polygons 

A concave polygon is a polygon with at least one angle greater than 180 degrees. Concave polygons have at least one "reentrant angle"—an angle formed by two adjacent sides that point in opposite directions (like an open parenthesis). A few examples of concave polygons are shown below.

Convex Polygons 

A convex polygon is a polygon with all angles less than 180 degrees. In other words, no side or angle points inwards—all vertices point outwards. A few examples of convex polygons are shown below.

Conclusion

Polygons are two-dimensional shapes with straight sides that meet at angles less than 180 degrees. There are three types of polygons: regular, concave, and convex. Regular polygons have all angles and all sides equal; concave polygons have at least one angle greater than 180 degrees; and convex polygons have all vertices pointing outwards (no angle points inwards). Next time you're working on a geometry problem, be sure to keep these types of polygons in mind!

FAQ

What are the different types of polygons?

There are three types of polygons: regular, concave, and convex. Regular polygons have all angles and all sides equal; concave polygons have at least one angle greater than 180 degrees; and convex polygons have all vertices pointing outwards (no angle points inwards).

What are the properties of a polygon?

Polygons are two-dimensional shapes with straight sides that meet at angles less than 180 degrees. There are three types of polygons: regular, concave, and convex. Regular polygons have all angles and all sides equal; concave polygons have at least one angle greater than 180 degrees; and convex polygons have all vertices pointing outwards (no angle points inwards). Polygons can be either convex or concave, but all regular polygons are convex.

What is polygon explain the types with example?

There are three types of polygons: regular, concave, and convex. Regular polygons have all angles and all sides equal; concave polygons have at least one angle greater than 180 degrees; and convex polygons have all vertices pointing outwards (no angle points inwards). Some examples of each type of polygon are shown below.

Regular Polygons: Equilateral Triangle, Square, Regular Pentagon

Concave Polygons: Non-equilateral Triangle, Star

Convex Polygons: Hexagon, Octagon

What is the polygon rule?

The polygon rule states that the sum of the angles in any polygon is 360 degrees. This rule applies to all polygons, regardless of whether they are regular, concave, or convex.

What are the 4 types of polygon classifications?

There are four types of polygon classifications: regular, concave, convex, and star. Regular polygons have all angles and all sides equal; concave polygons have at least one angle greater than 180 degrees; convex polygons have all vertices pointing outwards (no angle points inwards); and star polygons have at least one vertex that is not connected to any other vertex by a side.

What is the formula of polygon?

The formula for the sum of the angles in a polygon is (n-2)*180, where n is the number of sides in the polygon. This formula applies to all polygons, regardless of whether they are regular, concave, or convex.

What is the 3 types of polygons?

There are three types of polygons: regular, concave, and convex. Regular polygons have all angles and all sides equal; concave polygons have at least one angle greater than 180 degrees; and convex polygons have all vertices pointing outwards (no angle points inwards). Next time you're working on a geometry problem, be sure to keep these types of polygons in mind!