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

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.8

Question 1.
Examine, whether the following are polygons? If any one among them is not, say why?

Answer:
(a) No, as it is not a closed figure, therefore, it is not a polygon.
(b) Yes, it is a polygon because it is a closed figure made by 6 line segments.
(c) No, it is not a polygon because it is not made by line segment.
(d) No, it is not a polygon because the figure is not made of only line segment. But has a curved surface too.

Question 2. 
Name each polygon :

Make two more examples of each of these.
Answer:
(a) Quadrilateral, made of 4 line segments.
(b) Triangle, made of 3 line segments.
(c) Pentagon, made of 5 line segments.
(d) Octagon, made of 8 line segments.

Two more examples of each of these are :
(a) Quadrilateral: .

(b) Triangle :

(c) Pentagon:

 
(d) 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,F thus formed by joining ACF is an isosceles triangle.

ABCDEF is a regular hexagon.
Joining its alternate vertices A, C, E, we get ΔACE is a regular triangle. Thus, the triangle so formed is an equilateral triangle.

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.
Answer:

ABCDEFGH is a regular octagon and CDGH is a rectangle. 

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.