Question

What is a regular polygon? State the name of a regular polygon of
i) 3 sides
ii) 4 sides
iii) 6 sides

Answer 1

Hint: A polygon is a two-dimensional shape made up of straight lines. A polygon is a closed figure and must have a minimum of three sides. A regular polygon is a polygon that has all the sides of the same length.

Complete step by step solution: A polygon is a shape defined in a two-dimensional space and is represented in a plane. A polygon shape is made up of straight lines only. A polygon shape must also be a closed shape, thus a minimum of three lines are required for a valid polygon.
A regular polygon is a polygon in which all the sides of the shape are of the same length.
A polygon which has 3 sides is known as a triangle.
The regular polygon of three sides is called an equilateral triangle, where all the three sides of the triangle are of the same length.
A polygon with 4 sides is known as a quadrilateral. There are many types of quadrilaterals such as square, rectangle, rhombus, etc.
We know that a square is a polygon with 4 equal sides.
Hence, the regular polygon with four sides is called a square.
Similarly, the polygon with 6 sides is known as hexagon.
The polygon with six sides of equal length is called a regular hexagon.

Note: For a regular polygon, the interior angles of between any two sides of the polygon is also equal. The regular polygon with five sides is called a regular pentagon. There is no polygon with the number of sides less than 3. The polygon with the least number of sides is the triangle.