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Last modified on June 8th, 2024

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 June 8th, 2024

Corrections made

This is an informative and well-explained article on the topic of Polygon. It provides a clear definition, properties, types, formulas, and examples to help readers understand this mathematical concept in depth.