Question

Which of these following figures is not a polygon?
A.

B.

C.

D. None of the above

Answer 1

Hint: According to the question, first we will get to know what a polygon is, then we will understand it’s shape and size, then it will be easy for us to identify it from the given options and solve the question.

Complete step-by-step solution:
In geometry, a figure is a collection or combination of certain points, or planes, or lines. They are divided into different varieties depending on their dimensions, such as points, rays, lines, line segments, etc, . There are three types of dimensions in geometry. The first is a one-dimensional figure which lies in one plane. One example is lines. The second one is a two-dimensional figure or we can say 2-D figure which lies in two planes. It’s examples are circle, polygon, etc, . The third one is the three-dimensional or we can say 3-D figure, which lies in three planes.
A polygon is a two-dimensional figure. The number of sides in a polygon is finite. When we talk about a polygon, the most important thing is that its sides are made of line segments. The line segments are straight and are connected to each other in a polygon.
So, any figure, having different line segments connected to each other is called a polygon.
Now, according to our question, the first option is having line segments connected to each other. So, it is a polygon. Therefore, option A is incorrect.
In the second option also, the figure has line segments connected to each other. Hence, it is also a polygon. So, option B is also incorrect.
In the third option also, the figure has line segments connected to each other. Hence, it is also a polygon. So, option C is also incorrect.
Finally, the last option which is none of the above is correct. Do, we will go with option D.

Note: Every polygon is a two-dimensional figure. But not every two-dimensional figure is a polygon. For example, a circle is also a two-dimensional figure but it does not have any line segments or sides. It is a curved shaped figure.