Exercise 4.5
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:
Diagonals of quadrilateral PQRS are PR and QS
Meeting Point is O which is interior of quadrilateral PQRS.
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,
Solution:
(i) KL and NM
(ii) KN and LM
(b) two pairs of opposite angles,
Solution:
(i) ∠K and ∠M
(ii) ∠L and ∠N
(c) two pairs of adjacent sides,
Solution:
(i) KN and KL
(ii) KL and ML
(d) two pairs of adjacent angles.
Solution:
(i) ∠K and ∠L
(ii) ∠M and ∠N