EXERCISE 5.8

**1) Examine whether the following are polygons, if any one among them is not, say why?**

(a) Is not a polygon. Since the figure is not closed.

(b) Yes, it is a polygon of six sides.

(c) Not a polygon, as it is not made up of line segments.

(d) Not a polygon, as it is not made up of line segments.

**2) Name each polygon :**

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

**3) Draw a rough sketch of regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.**

**Ans :**

We get an equilateral 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.**

**Ans :**

**5) A diagonal is a line 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.**

**Ans :**