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

These NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.8

Question 1.
Examine whether the following are polygons. If anyone among them is not, say why?
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 1
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 2
Answer:
(a) As it is not a closed figure, therefore, it is not a polygon.
(b) It is a polygon because it is closed by line segments.
(c) It is not a polygon because it is not made by line segments.
(d) It is not a polygon because it not made only by line segments, it has curved surface also.

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

Question 2.
Name each polygon:
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 3
Answer:
(a) Quadrilateral
(b) Triangle
(c) A pentagon
(d) An octagon

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.
Answer:
ABCDEF is a regular hexagon and triangle thus formed by joining AEF is an isosceles triangle.
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Question 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.
Answre:
ABCDEFGEI is a regular octagon and CDGE1 is a rectangle.
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 5

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

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.
Answer:
ABCDE is the required pentagon and its diagonals are AD, AC, BE and BD.
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