# HBSE 6th Class Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.8

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:
(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.