**Understanding Elementary Shapes**

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

**Solution:**

**(a)**No, because it is not closed,

**(b)**Yes.

**(c)**No, because it is not drawn by using line segments.

**(d)**No, because it is not closed by line segments.

**Question 2.Name each polygon:**

make two more examples of each of these.

**Solution:****(a)** Quadrilateral**(b)** Triangle**(c)** Pentagon**(d)** Octagon

**Two more examples of :**

**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:**

Let ABCDEF be a rough sketch of a regular hexagon.

Join AC

A ∆ ABC is obtained in which AB = BC. Thus,

∆ ABC is an isosceles triangle.

**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:**

Let ABCDEFGH be a rough sketch of a regular octagon. Join AC, CE, EG and GA to obtain a rectangle ACEG.

Ex 5.8 Class 6 Maths 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:

Let ABCDE be a rough sketch of a pentagon. To draw its diagonals, join AC, AD, BD, DE and CE. Then, AC, AD, BD, BE and CE are its diagonals.