S.chand books class 8 maths solution chapter 19 Special Types of Quadrilaterals exercise 19 C

 EXERCISE 19 C

Question 1

For each of the statements given below, indicate if it is true(T) or false(F):
(i) A rectangle is a parallelogram
(ii) A square is a rectangle
(iii) A parallelogram is a rhombus
(iv) A square is a rhombus
(v) A rectangle is a square
(vi) A square is a parallelogram

Sol :

(i) T
(ii) T
(iii) F
(iv) T
(v) F
(vi) T

Question 2

What kind of a quadrilateral is the following ?
The diagonals and the sides form four congruent right-angled triangles.

Sol :

Rhombus

Question 3

PQRS is a quadrilateral. What kind of quadrilateral is it if
(i) PQ is parallel to RS and the diagonals are equal in length ?
(ii) PQ and RS are parallel and ∠P=∠R ?

Sol :

Isosceles trapezium

Question 4

Which of the following are true for a rhombus ?
(i) It has two pairs of parallel sides
(ii) It has two pairs of congruent angles
(iii) It has two pairs of congruent sides
(iv) Two of its angles are right angles
(v) Its diagonals bisect each other and are at right angles
(vi) Its diagonals are congruent and perpendicular
(vii) It has all its sides of equal length

Sol :

(i) T
(ii) T
(iii) T
(iv) F
(v) T
(vi) F
(vii) T

Question 5

The diagonals of a quadrilateral are perpendicular to each other to such a quadrilateral always a rhombus? if your answer is a 'no' , draw a figure to justify answer

Sol :

No, A kite also has this property

Question 6

A window frame has one diagonal longer than the other.Is the window frame a rectangle? Why or why not ?

Sol :

No, diagonals of a rectangle should be equal 

Question 7

What kind of quadrilateral is formed when the mid-points of the sides of the following are joined ?
(i) a rectangle
(ii) a rhombus
(iii) a kite
(iv) an isosceles trapezium

Sol :

(i) Rhombus

(ii) Rectangle

(iii) Rectangle

(iv) Rhombus