
Which one of the following is a four-sided polygon.
A. Figure 2
B. Figure 1
C. Figure 4
D. Figure 3
Answer
599.4k+ views
Hint: This is a simple problem of 2-D figures and shapes. A polygon is a two dimensional figure having at least 3 sides, and forms a closed figure. The maximum number of sides in a polygon can be infinite, which is a circle. In this question, we will simply count the number of sides in each of the figures and mark the correct option.
Complete step-by-step answer:
We have been given four polygons in the question, each having a different number of sides. We will inspect each figure and decide the total number of sides in them.
In figure 1, on counting the number of edges or sides, we can clearly see that it has a total of 5 sides. This type of a polygon having 5 sides is called a pentagon as shown-
In figure 2, on counting the number of edges or sides, we can clearly see that it has a total of 4 sides. This type of a polygon having 4 sides is called a quadrilateral as shown-
In figure 3, on counting the number of edges or sides, we can clearly see that it has a total of 6 sides. This type of a polygon having 6 sides is called a hexagon as shown-
In figure 4, on counting the number of edges or sides, we can clearly see that it has a total of 3 sides. This type of a polygon having 3 sides is called a triangle as shown-
From the given figures it is clear that figure 2 is a quadrilateral, which is a four-sided polygon. Therefore, the correct option is A. Figure 2.
Note: The common mistake here that students mark the wrong answer in a hurry. The options have been jumbled in order to confuse the student. So students in a hurry assume that option A is for figure 1, B for figure 2 and so on. Therefore, they should always try and read the options carefully, because they are assigned keeping in mind the thinking of the students.
Complete step-by-step answer:
We have been given four polygons in the question, each having a different number of sides. We will inspect each figure and decide the total number of sides in them.
In figure 1, on counting the number of edges or sides, we can clearly see that it has a total of 5 sides. This type of a polygon having 5 sides is called a pentagon as shown-
In figure 2, on counting the number of edges or sides, we can clearly see that it has a total of 4 sides. This type of a polygon having 4 sides is called a quadrilateral as shown-
In figure 3, on counting the number of edges or sides, we can clearly see that it has a total of 6 sides. This type of a polygon having 6 sides is called a hexagon as shown-
In figure 4, on counting the number of edges or sides, we can clearly see that it has a total of 3 sides. This type of a polygon having 3 sides is called a triangle as shown-
From the given figures it is clear that figure 2 is a quadrilateral, which is a four-sided polygon. Therefore, the correct option is A. Figure 2.
Note: The common mistake here that students mark the wrong answer in a hurry. The options have been jumbled in order to confuse the student. So students in a hurry assume that option A is for figure 1, B for figure 2 and so on. Therefore, they should always try and read the options carefully, because they are assigned keeping in mind the thinking of the students.
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