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WorksheetsQuadrilaterals
Total questions: 15
Worksheet time: 14mins
: Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90º and ∠BDC = 50º, then ∠OAB is
50
40
90
10
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is
90
95
105
120
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is
50
55
40
20
ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is
60
40
50
90
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
diagonals of PQRS are equal
diagonals of PQRS are perpendicular
PQRS is a parallelogram
PQRS is a rectangle
The quadrilateral formed by joining the mid-points of the side of quadrilateral PQRS, taken in order, is a rhombus, if
diagonals of PQRS are equal
diagonals of PQRS are perpendicular
PQRS is a parallelogram
PQRS is a rhombus
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
kite
trapezium
parallelogram
rhombus
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
quadrilateral whose opposite angles are supplementary
parallelogram
rhombus
rectangle
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 parallelogram
a rectangle
a rhombus
a square
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
32°
38°
86°
24°
Which of the following is not true for a parallelogram?
Opposite sides are equal
Diagonals bisect each other
Opposite angles are bisected by the diagonals
Opposite angles are equal
ABCD is a parallelogram. If its diagonals are equal, then find the value of ∠ABC.
90
40
50
45
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.
3.5 cm
4 cm
2.5 cm
2 cm
Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B.
145
35
55
25
