**Basic Geometrical Ideas**

## Exercise – 4.5

**Ex 4.5 Question 1.**

**Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?**

**Solution:**

**Ex 4.5 Question 2.**

**2. Draw a rough sketch of a quadrilateral KLMN. State,**

**(a) two pairs of opposite sides,**

**(b) two pairs of opposite angles,**

**(c) two pairs of adjacent sides,**

**(d) two pairs of adjacent angles.**

**Solution:**

(a) Two pairs of opposite sides =

,

and

,

(b) Two pairs of opposite angles = ∠KLM, ∠KNM and ∠LKN, ∠LMN

(c) Two pairs of adjacent sides =

,

and

,

or

,

and

,

(d) Two pairs of adjacent angles = ∠K, ∠L and ∠M, ∠N or ∠K, ∠L, and ∠L, ∠M