NCERT Solutions for Class 6 Maths Chapter 5 (Ex 5.8)
Exercise 5.8
1. Examine whether the following are polygons. If any figure is not a polygon, then state the reason.
The shape is as follows.
Ans: A polygon is a closed figure formed by line segments. The given figure is not a closed figure; hence it is not a polygon.
The shape is as follows.
Ans: A polygon is a closed figure formed by line segments. The given figure is a closed figure which is formed by six-line segments.Hence, it is a polygon.
The shape is as follows.
Ans: A polygon is a closed figure formed by line segments. The given figure is not a polygon because it is not made up of line segments. Hence, it is not a polygon.
The shape is as follows.
Ans:A polygon is a closed figure formed by line segments. The given figure is not a polygon because even though it is made up of line segments it has a curved surface. Hence, it is not a polygon.
2. Name each of the following polygons. Give two examples of each type of figure.
The polygon is as follows.
Ans: A polygon is a closed figure formed by line segments. The given polygon is made up of four line segments. Thus, it is a quadrilateral. The two quadrilaterals are as follows.
The polygon is as follows.
Ans: A polygon is a closed figure formed by line segments. The given polygon is made up of three-line segments.Thus, it is a triangle. Two examples of triangles are as follows.
The polygon is as follows.
Ans: A polygon is a closed figure formed by line segments. The given polygon is made up of five-line segments and it is a closed figure. Also, a polygon with 5 sides is called a pentagon.Thus, the given figure is a pentagon. Two more examples are as follows.
The polygon is as follows.
Ans: A polygon is a closed figure formed by line segments.The given polygon is made up of eight-line segments. and it is a closed figure. Also, a polygon with 8 sides is called an octagon. Thus, the given polygon is an octagon. Two more examples of octagon are as follows.
3. Draw a rough sketch of a regular hexagon. Connect any three of the vertices. Draw a triangle, and identify the type of triangle you have drawn.
Ans: A hexagon is a figure formed by six-line segments. Label it with the name $ABCDEF$.
Now, join any two vertices, say $AE$ to form a triangle, $AFE$.
The figure is a regular hexagon so all sides are equal. Thus, $AF = FE$. We can see that $AE$ is not equal to $AF$, and $FE$. A triangle with two equal sides is called an isosceles triangle. Here, the triangle, $\Delta AFE$ has two equal sides. Therefore, $\Delta AFE$ is an isosceles triangle.
4. Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
Ans: An octagon is a figure formed by eight-line segments. Label it with the name $ABCDEFGH$.
Now, join any two vertices, say $GD$, and $HC$ to form a rectangle, $CDGH$.
The required rectangle is $CDGH$.
5. A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
Ans:A pentagon is a polygon formed with five-line segments. Label it with the name $ABCDE$.
To draw the diagonals join the opposite vertices, say, $A$ with $C$ and $D$, $E$ with $B$ and $C$, and $B$ with $D$.
The diagonals are, $AC$, $AD$, $EB$, $EC$, and $DB$.
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.8
Opting for the NCERT solutions for Ex 5.8 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 5.8 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.
Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 5 Exercise 5.8 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.
Besides these NCERT solutions for Class 6 Maths Chapter 5 Exercise 5.8, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.
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