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This mock test of Quadrilaterals - Olympiad Level MCQ, Class 9 Mathematics for Class 9 helps you for every Class 9 entrance exam.
This contains 25 Multiple Choice Questions for Class 9 Quadrilaterals - Olympiad Level MCQ, Class 9 Mathematics (mcq) to study with solutions a complete question bank.
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students definitely take this Quadrilaterals - Olympiad Level MCQ, Class 9 Mathematics exercise for a better result in the exam. You can find other Quadrilaterals - Olympiad Level MCQ, Class 9 Mathematics extra questions,
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QUESTION: 1

In the given figure, ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm and the distance between AB and DC is 4 cm. Then the values of x is

Solution:

QUESTION: 2

ABCD is a quadrilateral. If AC and BD bisect each other then ABCD must be

Solution:

QUESTION: 3

ABCD is a parallelogram. The angle bisectors of ∠A and ∠D meet at O. The measure of ∠AOD is

Solution:

QUESTION: 4

The diameter of circumcircle of a rectangle is 10 cm and breadth of the rectangle is 6 cm. Its length is

Solution:
Breadth=6 cm,circumcircle diameter=10cm this is the diameter of rectangle . then use phythagoures theorem then we get length=8cm

QUESTION: 5

ABCD and MNOP are quadrilaterals as shown in the figure below. Then

Solution:

QUESTION: 6

If ABCD is a parallelogram, then ∠A – ∠C

Solution:

QUESTION: 7

One of the diagonals of a rhombus is equal to a side of the rhombus. The angles of the rhombus are

Solution:

QUESTION: 8

The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠AOB is

Solution:

QUESTION: 9

ABCD is a rhombus. ∠If ACB = 40°, then ∠ADB is

Solution:

QUESTION: 10

In a quadrilateral PQRS, if ∠P = ∠R = 100° and ∠S = 75° then ∠Q =

Solution:

QUESTION: 11

If the lengths of two diagonals of a rhombus are 12 cm and 16 cm, then the length of each side of the rhombus is

Solution:

One diagonal is 16 and another 12 then half of both is 8and6.diagonal of rhombus bisect at 90'

By pythogaurus theorem

8^2+6^2=h^2

64+36=100

Side = 10

QUESTION: 12

In a quadrilateral, the angles are in the ratio 3 : 4 : 5 : 6. Then the difference between the greatest and the smallest angle is:

Solution:

QUESTION: 13

In a quadrilateral ABCD, ∠A + ∠C + 180° then ∠B + ∠D =

Solution:

QUESTION: 14

Which of the following statement(s) is / are false ?

Solution:

QUESTION: 15

The angles of a quadrilateral are x°, x – 10°, x + 30° and 2x°. Find the greatest angle

Solution:

QUESTION: 16

In a parallelogram ABCD, if∠A = 80° then ∠B=

Solution:

QUESTION: 17

In a trapezium ABCD, AB || CD if ∠A = 50° then ∠D =

Solution:

QUESTION: 18

In a rhombus ABCD, ∠A = 60° and AB = 6 cm. Find the diagonal BD

Solution:

In

In

In Î”ABCâˆ A=60

AB=6cm

In rhombus all sides are equal .

=> AB=AD=6cm

=> âˆ B=âˆ D=6cm

[Since equal sides subtend equal angle ]

Hence BD=6cm as it is equilateral triangle .

Answer : 6

QUESTION: 19

In a square ABCD, its diagonals bisect at O. Then the triangle AOB is

Solution:

QUESTION: 20

Which of the following properties are not true for a parallelogram ?

Solution:

QUESTION: 21

In a rhombus ABCD, the diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, then the length of

the diagonal AC is .............

Solution:

QUESTION: 22

The perimeter of a parallelogram is 180 cm. One side exceeds the another by 10 cm. The adjacent sides of

the parallelogram are .............

Solution:

QUESTION: 23

ABCD is a parallelogram in which ∠DAO = 40°, ∠BAO = 35° and ∠COD = 65° then ∠ODC = ..........

Solution:

QUESTION: 24

ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60° then ∠CDB = .............

Solution:

QUESTION: 25

In the adjoining figure, AP and BP are angle bisectors of ∠A and ∠B which meet at P of the parallelogram ABCD. Then 2∠APB

Solution:

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