Chapter - 5- EXERCISE 5.8 - Basic Geometrical Ideas (NCERT Class 6th Maths Solution)

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



Solution/Explanation:


(a) The given figure is not a polygon as it is not a closed figure.

(b) The given figure is  a polygon.

(c) The given figure is not a polygon as a polygon is enclosed only by line segments.

(d) The given figure is not a polygon as a polygon is enclosed only by line segments.

2. Name each polygon.

Make two more examples of each of these.

Solution/Explanation:

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/Explanation:

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/Explanation:

ABCDEFGH is a regular octagon and 

CDGH is a rectangle.

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/Explanation:

We have drawn the pentagon ABCDE and by joining its vertices he has drawn the diagonals AC, CE, EB, BD and DA.