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Worksheets

Quadrilaterals

Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.

: Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90º and ∠BDC = 50º, then ∠OAB is

a)

50

b)

40

c)

90

d)

10

2.

Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is

a)

90

b)

95

c)

105

d)

120

3.

A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is

a)

50

b)

55

c)

40

d)

20

4.

ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is

a)

60

b)

40

c)

50

d)

90

5.

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

a)

diagonals of PQRS are equal

b)

diagonals of PQRS are perpendicular

c)

PQRS is a parallelogram

d)

PQRS is a rectangle

6.

The quadrilateral formed by joining the mid-points of the side of quadrilateral PQRS, taken in order, is a rhombus, if

a)

diagonals of PQRS are equal

b)

diagonals of PQRS are perpendicular

c)

PQRS is a parallelogram

d)

PQRS is a rhombus

7.

If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is a

a)

kite

b)

trapezium

c)

parallelogram

d)

rhombus

8.

If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a

a)

quadrilateral whose opposite angles are supplementary

b)

parallelogram

c)

rhombus

d)

rectangle

9.

D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

a)

a parallelogram

b)

a rectangle

c)

a rhombus

d)

a square

10.

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point 0. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to

a)

32°

b)

38°

c)

86°

d)

24°

11.

Which of the following is not true for a parallelogram?

a)

Opposite sides are equal

b)

Diagonals bisect each other

c)

Opposite angles are bisected by the diagonals

d)

Opposite angles are equal

12.

ABCD is a parallelogram. If its diagonals are equal, then find the value of ∠ABC.

a)

90

b)

40

c)

50

d)

45

13.

In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.

a)

3.5 cm

b)

4 cm

c)

2.5 cm

d)

2 cm

14.

Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B.

a)

145

b)

35

c)

55

d)

25

15.
Name the quadrilateral where diagonals bisect each other at 90°
a)
Rectangle and Square
b)
Rectangle and Rhombus
c)
Square and Rhombus
d)
Trapezium