**Understanding Elementary Shapes **

## Exercise – 5.8

**Ex 5.8 Question 1.**

**Examine whether the following are polygons. If anyone among them is not, say why?**

**Solution:**

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

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

(c) The given figure is not a polygon because it is not made by line segments.

(d) The given figure is not a polygon because it is not made by line segments it has a curved surface also.

**Ex 5.8 Question 2.**

**Name the polygon.**

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

**Solution:**

(a) Quadrilateral Examples:

(b) Triangle Examples:

(c) Pentagon Examples:

(d) Octagon Examples:

**Ex 5.8 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:**

**Ex 5.8 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:**

**Ex 5.8 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:**