## MP Board Class 6th 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?

Solution:

(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 is not made by only line segments and also it has curved surface.

Question 2.

Name each polygon.

Make two more examples of each of these.

Solution:

(a) Quadrilateral

(b) Triangle

(c) Pentagon

(d) Octagon

Two more examples of each :

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 regular hexagon and ∆AEF is a triangle formed by joining AE.

Hence, ∆AEF is an isosceles 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.

Solution:

ABCDEFGH is a regular octagon and CDGH is a rectangle formed by joining C and H; D and G.

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:

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