NCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.8

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NCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.8

NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8

Exercise 5.8

Question 1.
Examine whether the following are polygons. If any one among them is not, say why?
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
Solution:
(a) The given figure is not closed. Therefore, it is not a polygon.
(b) The given figure is a polygon.
(c) The given figure is not a polygon because every polygon is enclosed with line segments.
(d) The given figure is not a polygon because it is enclosed by an arc and two line segments.

Question 2.
Name the polygon.
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
Make two more examples of each of these.
Solution:
(a) A quadrilateral Examples:
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

(b) A Triangle
Examples:
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

(c) A Pantagon
Examples:
E:\Prasanthi\new books\Top Graders Class 6 Maths\images\ch 5\5.1\5.2\5.8\NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

(d) A Octagon
Examples:
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

Question 3.
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
Solution:
ABCDEF is a rough sketch of a regular hexagon. If we join any three vertices like D, A and B, we get a scalene triangle DAB.
E:\Prasanthi\new books\Top Graders Class 6 Maths\images\ch 5\5.1\5.2\5.8\NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
But if we join the alternate vertices, we get an equilateral triangle EAC.

Question 4.
Draw a rough sketch of a regular octagon. (Using squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
Solution:
ABCDEFGH is a rough sketch of regular octagon. GHCD is the rectangle formed by joining the four vertices of the given octagon.
E:\Prasanthi\new books\Top Graders Class 6 Maths\images\ch 5\5.1\5.2\5.8\NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

Question 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.
Solution:
A B C D E is the rough sketch of a pentagon.
By joining its any two vertices, we get, the following diagonals.
\overline { AD }, \overline { AC }, \overline { BE }, \overline { BD }and \overline { CE }
E:\Prasanthi\new books\Top Graders Class 6 Maths\images\ch 5\5.1\5.2\5.8\NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

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