Table of Contents

Last modified on August 3rd, 2023

A polygon is a closed geometric shape made of a finite number of straight line-segments joined end to end. In Greek, ‘poly’ means ‘many,’ and ‘gon’ means ‘angle’.

It should have a minimum of three sides but can have any maximum number of sides. A polygon is usually named based on the number of sides it contains. A polygon with *n* sides is called an *n*-gon.

Given below is the list of common polygons:

As shown in the above image, the most basic types of polygons found in everyday life are: 1) triangle, 2) quadrilateral, 3) pentagon, 4) hexagon, 5) heptagon, 6) octagon, 7) nonagon, and 8) decagon.

Given below is the list of the names of polygons with their basic properties:

It is a polygon that has all its interior angles less than 180°. All the diagonals of a convex polygon lie inside the closed figure.

Triangles, all convex quadrilaterals, regular pentagon, and regular hexagon are common examples of a convex polygon.

Also known as a non-convex polygon, it is a polygon having at least one of its interior angles measuring more than 180°. Some diagonals of a concave polygon lie outside the closed figure.

A dart or an arrowhead in quadrilaterals, some irregular pentagon and hexagon are common examples of the concave polygon.

It is a polygon having all sides of equal length and all interior angles of equal measure. A regular polygon is thus both equilateral and equiangular.

Triangle, quadrilateral, pentagon, and hexagon are common examples of the regular polygon.

It is a polygon that has sides of unequal length and angles of unequal measure. Any polygon that is not regular is thus an irregular polygon.

Scalene triangle, quadrilaterals such as a rectangle, trapezoid or a kite, irregular pentagon, and hexagons are common examples of the irregular polygon.

- Pentagon, the large five-sided building that serves as the headquarters of the U.S. Department of Defense
- The Pyramids of Egypt with five sides
- The Bermuda Triangle
- The rectangle-shaped screen of our laptop, a television set, and mobile phones
- The tiles on which we walk in our homes and streets
- The wall of a building, the truss of a bridge

**Ans**. Yes, all quadrilaterals are polygons. Since a quadrilateral has four sides, it is a four-sided polygon.

**Ans**. Yes, all triangles, by definition, are polygons with three sides.

**Ans**. No, circles are not polygons because they have no sides.

**Ans**. No, a cube is not a polygon. Polygons are flat, two-dimensional, closed shapes with sides made of straight lines, whereas a cube is a three-dimensional solid figure.

**Ans**. Yes, a star is a polygon. In geometry, a star is a special type of non-convex polygon that is commonly also known as a star polygon.

**Ans**. Square, rectangle, and right trapezoid are three polygons that have right angles.

**Ans**. Every regular polygon with an even number of sides has pairs of parallel sides. Regular polygons have half as many parallel sides as the total number of sides.

**Ans**. No, a heart is not a polygon because a heart is made of curved sides. A polygon, on the other hand, is made of straight-line segments.

**Ans**. No, the sides of a polygon are made of straight-line segments. Thus any geometric shape that has curved sides is not a polygon.

**Ans**. An oval is not a polygon because it has no straight sides.

**Ans**. No, polygons have the same number of sides and angles because they are closed figures with non-intersecting lines.

Last modified on August 3rd, 2023

There is an error in the heading.

Based on Side Lengths should be replaced based on interior angles. As the information under the sub-heading is not matching.

Kindly rectify it

Corrections made

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