Which of the following figures is a hexagon?
A) Figure 2
B) Figure 1
C) Figure 4
D) Figure 3
Answer
591.6k+ views
Hint:
Here, it is asked to find the figure of the hexagon out of the given 4 figures.
To find out which of the given figures is a hexagon, count the number of sides in every figure individually. Thus, mention their shapes.
Match the shape of the hexagon with the correct figure.
Thus, choose the correct option.
Complete step by step solution:
Here, we are asked to find the figure of the hexagon out of the given 4 figures.
To find out which of the given figures is a hexagon, we need to count the number of sides in every figure individually.
So, in figure 1 we will firstly count the number of sides.
It is clear from the above figure that it has 5 sides. So, it is a pentagon and not a hexagon.
In the figure 2,
The above diagram has 4 sides. So, it must be a square or rectangle or any other shape that has 4 sides. So, it must not be a hexagon.
In figure 3,
The above diagram has 6 sides as shown. So, it is a hexagon.
Also, in figure 4,
The above diagram shows that the figure 4 has 3 sides. So, it is a triangle and not a hexagon.
Thus, figure 3 shows a hexagon.
So, option (D) is the correct answer.
Note:
The definition of some polygons:
Pentagon: A polygon that has 5 sides is called a pentagon.
Square: A polygon that has 4 sides and all sides are equal and all the angles measure 90 degrees is called a square.
Rectangle: A polygon that has 4 sides in which 2 parallel sides are equal in length and all angles measure 90 degrees is called a rectangle.
Triangle: A polygon that has 3 sides is called a triangle.
Hexagon: A polygon that has 6 sides is called a hexagon.
Here, it is asked to find the figure of the hexagon out of the given 4 figures.
To find out which of the given figures is a hexagon, count the number of sides in every figure individually. Thus, mention their shapes.
Match the shape of the hexagon with the correct figure.
Thus, choose the correct option.
Complete step by step solution:
Here, we are asked to find the figure of the hexagon out of the given 4 figures.
To find out which of the given figures is a hexagon, we need to count the number of sides in every figure individually.
So, in figure 1 we will firstly count the number of sides.
It is clear from the above figure that it has 5 sides. So, it is a pentagon and not a hexagon.
In the figure 2,
The above diagram has 4 sides. So, it must be a square or rectangle or any other shape that has 4 sides. So, it must not be a hexagon.
In figure 3,
The above diagram has 6 sides as shown. So, it is a hexagon.
Also, in figure 4,
The above diagram shows that the figure 4 has 3 sides. So, it is a triangle and not a hexagon.
Thus, figure 3 shows a hexagon.
So, option (D) is the correct answer.
Note:
The definition of some polygons:
Pentagon: A polygon that has 5 sides is called a pentagon.
Square: A polygon that has 4 sides and all sides are equal and all the angles measure 90 degrees is called a square.
Rectangle: A polygon that has 4 sides in which 2 parallel sides are equal in length and all angles measure 90 degrees is called a rectangle.
Triangle: A polygon that has 3 sides is called a triangle.
Hexagon: A polygon that has 6 sides is called a hexagon.
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