Haryana State Board HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.8 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.8

Question 1.

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

Solution:

(a) Not a polygon, since it is not closed.

(a) Yes, it is a polygon.

(b) Not a polygon, since it is not closed by line segments.

(c) Not a polygon, since it is not closed by line segments.

Question 2.

Name each polygon:

Solution:

(a) Quadrilateral,

(b) Triangle,

(c) Pentagon,

(d) Hexagon,

(e) Octagon,

(f) Decagon.

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:

Equilateral triangle BDF.

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:

Quadrilateral CDGH is the required 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.

Solution:

\(\overline{\mathrm{AC}}, \overline{\mathrm{AD}}, \overline{\mathrm{BD}}, \overline{\mathrm{BE}}\) and \(\overline{\mathrm{CE}}\) are the required five diagonals of pentagon ABCDE.