Exercise 5.8

Class 6 | Mathematics | Chapter 5| Understanding Elementary Shapes | Exercise 5.8

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

Answer:

(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 not made only by line segments, it has curved surface also

2. Name each polygon. two more examples of each of these.

Answer: 

(a) Quadrilateral

(b) Triangle

(c) Pentagon

(d) Octagon

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.

Answer: ABCDEF is a regular hexagon and triangle thus formed by joining AEF is an isosceles triangle.

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.

Answer: 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 the polygon. Draw a rough sketch of a pentagon and draw its diagonals.

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