**Understanding Elementary Shapes Class 6 Ex. 5.8 **

**New Ncert Class 6 Math Free Solution.**

**Exercise 5.8**

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

**Solution 1:-**

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

(b) The given figure is a polygon of six sides.

(c) The given figure is not a polygon because they are not made of line segments.

(d) The given figure is not a polygon because they are not made of line segments.

**Question 2 :- Name the polygon.**

**Make two more examples of each of these.**

**Solution 2:-**

(a) A quadrilateral.

Examples are :-

(b) A Triangle.

Examples are :-

(c) A Pantagon (5-sided).

Examples are :-

(d) A Octagon.

Examples are :-

**Question 3 :- Draw rough sketch of a regular-hexagon. Connecting any three of its verticess, draw a triangle. Identify the type of the triangle you have drawn;.**

**Solution 3:-**

A rough drawing of a regular hexagon is ABCDEF. If we join any three vertices like D, A and B, we get a scalene triangle DAB.

But if we join the alternate vertices, we get an equilateral triangle EAC.

**Question 4 :- Draw, a rough sketch of a regular-octagon. (Using squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon;.**

**Solution 4:-**

ABCDEFGH is a rough sketch of regular octagon. The rectangle known as GHCD is created by connecting the four vertices of the specified octagon.

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**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 all diagonals.**

**Solution 5:-**

The rough drawing of a pentagon is ABCDE.

The following diagonals can be obtained by linking any two of its vertices.

AD, AC, BE, and BD.

**Free Understanding Elementary Shapes Class 6 Exercise. 5.7 for Free (2023-24).**

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