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.






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