Question

What polygons are not quadrilaterals?

Answer 1

Hint: Here, first we will understand the different types of 2 – D geometrical shapes like: - triangle, quadrilateral, pentagon. Now, we will see the number of sides present in these shapes and accordingly deduce our conclusion about the required conditions for a figure to be called a quadrilateral.

Complete step by step solution:
Here we have been asked about the types of polygons that are not considered as quadrilaterals. First let us know about the terms ‘polygon’ and ‘quadrilaterals’ along with different 2 – D figures.
Now, a polygon is a 2 dimensional figure having finite number of sides or line segments joined together to form a closed figure. The finite number of sides must be greater than 2 because then only we will be able to form a closed figure. There are special names given to polygons with a given number of sides.
(i) Triangle: - A triangle is a polygon having 3 sides and it can be shown in the figure as below.

(ii) Quadrilateral: - A quadrilateral is a polygon having 4 sides and it can be shown in the figure as below.

(ii) Pentagon: - A pentagon is a polygon having 5 sides and it can be shown in the figure below.

Similarly we have different names for the different number of sides present in a polygon like hexagon, heptagon, octagon for 6, 7, 8 number of sides respectively.
Therefore, on reading about the above polygons we can say that all the polygons that have more than or less than 4 sides and angles are not quadrilaterals.

Note: Note that there are many classifications among a particular polygon on different basis. Remember that a circle is not a polygon although it is a 2 dimensional figure because it contains curved lines and not line segments. For a figure to be considered as a polygon it must be plane and closed with a finite number of line segments.