Class 9 Practice – Level 1 – Quadrilaterals

Total questions: 40

Q is a point in the interior of a rectangle ABCD. If QA = 4cm, QB = 3cm and QC = 5 cm, then the length of QD (in cm) is

Topic: Properties of Rectangle

$ \displaystyle 4\sqrt{2}$

$ \displaystyle 5\sqrt{2}$

$ \displaystyle \sqrt{{34}}$

$ \displaystyle \sqrt{{41}}$

None

The length of the two adjacent sides of a rectangle inscribed in a circle are 3 cm and 4 cm respectively. Then the radius of the circle will be

Topic: Rectangle Inscribed in a Circle

6 cm

2.5 cm

8 cm

8.5 cm

None

PQRA is a rectangle, AP = 24cm. PQ = 8cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 18cm. Then the length of the line joining the mid points of the sides AB and BC is

Topic: Midpoints in a Rectangle and Triangle

$ \displaystyle 4\sqrt{2}$ cm.

5 cm

6 cm.

10 cm.

None

The length of the diagonal BD of the parallelogram ΔBCD is 12 cm. If P and Q are the centroid of the ΔABC and ΔADC respectively then the length of the line segment PQ is

Topic: Centroids in a Parallelogram

5 cm

4 cm

9 cm

12 cm

None

In the figure, if D & E are respectively the mid points of AB & AC, what will be the length of ED?

Topic: Midpoints in a Triangle

4 units

5 units

3 units

2 units

None

In a ΔPQR, median PS is produced to a point T such that PS = ST. Prove that PQTR is a parallelogram.

Topic: Median in a Triangle

SP = TS

PS = ST

PT = RQ

All of the above

None

If all the sides and angles are equal to a quadrilateral then the quadrilateral is –

Topic: Properties of a Square

rectangle

rhombus

square

parallelogram.

None

Quadrilateral whose four sides are equal but angles are not equal is –

Topic: Properties of a Quadrilateral

square

rhombus

rectangle

parallelogram

None

Two diagonals of a parallelogram are equal then it is

Topic: Diagonals of a Parallelogram

quadrilateral

a rectangle

a rhombus

a trapezium

None

10.

Two diagonals of parallelogram are equal and perpendicular to each other then it is –

Topic: Properties of Rhombus

rectangle

rhombus

trapezium

square

None

11.

ABCD is quadrilateral. If AC and BD are its diagonals then the –

Topic: Diagonals of a Quadrilateral

sum of the squares of the sides of the quadrilateral is equal to the sum of the squares of its diagonals.

Perimeter of the quadrilateral is equal to the sum of the diagonals

perimeter of the quadrilateral is less than the sum of the diagonals

perimeter of the quadrilateral is greater than the sum of the diagonals.

None

12.

In a parallelogram, the diagonals are equal.

Topic: Diagonals of a Quadrilateral

TRUE

FALSE

Sometimes true

None of these

None

13.

If all angles of a quadrilateral are equal, it is a parallelogram.

Topic: Properties of Rectangle

TRUE

FALSE

Sometimes true

None of these

None

14.

If three angles of a quadrilateral are equal, it is parallelogram.

Topic: Conditions for a Parallelogram

TRUE

FALSE

Sometimes true

None of these

None

15.

Three angles of a quadrilateral measure 110°, 82° and 68°. Find the measure of the fourth angle.

Topic: Angle Sum Property of a Quadrilateral

120°

80°

50°

100°

None

16.

If is quadrilateral ABCD∠A = 90° and AB = BC = CD = DA, then ABCD is a :-

Topic: Properties of Rhombus

Parallelogram

Rectangle

Square

None of these

None

17.

The bisectors of any two adjacent angles of a parallelogram intersect at :

Topic: Angle Bisectors in Parallelograms

30°

45°

60°

90°

None

18.

In △ABC and △DEF, AB = DE, AB∥DE, BC =EF and BC∥EF. Vertices A,B and C are joined to vertices D,E and F respectively. (In Figure). Then Quadrilateral ABED is a

Topic: Properties of a Parallelogram

rhombus

square

Parallelogram

rectangle

None

19.

In the adjoining kite, diagonals intersect at O. If ∠ABO = 32° and ∠OCD = 40°, find ∠ABC

Topic: Properties of a Kite

62°

54°

78°

64°

None

20.

In the parallelogram, the value of x is :

Topic: Properties of a Parallelogram

30°

50°

70°

80°

None

21.

In figure, ABC is a triangle in which E and F are the mid points of AB and AC. If BC = 10 and EF = (2k + 1), then the value of k is

Topic: Midpoint Theorem in Triangles

None

22.

ABCD is a rhombus with ∠ABC = 56°, then ∠ACB will be

Topic: Properties of Rhombus

56°

124°

62°

34°

None

23.

LMNO is a trapezium with LM ∥ NO. If P and Q are the midpoints of LO and MN respectively and LM = 5 cm and ON = 10 cm then PQ =?

Topic: Theorem for Trapezium

2.5 cm

5 cm

7.5 cm

15 cm

None

24.

In a parallelogram ABCD diagonals AC and BD intersects at O and AC = 12.8 cm and BD = 7.6 cm, then the measure of OC and OD respectively are

Topic: Properties of Diagonals in a Parallelogram

6.4 cm, 3.8 cm

3.8 cm, 6.4 cm

3.8 cm, 3.6 cm

6.4 cm, 4.2 cm

None

25.

The ratio of a side and a diagonal of a square is -

Topic: Properties of a Square

$ \displaystyle 1:\sqrt{2}$

$ \displaystyle 3:\sqrt{2}$

$ \displaystyle \sqrt{2}:1$

$ \displaystyle \sqrt{2}:3$

None

26.

In the figure, ABCD is a parallelogram, then the value of x + y is

Topic: Angles in a Parallelogram

90°

75°

120°

180°

None

27.

In a parallelogram ABCD, ∠A = 70° then

Topic: Properties of a Parallelogram

∠B = 70°

∠C = 110°

∠D = 70°

∠D = 110°

None

28.

In figure, ABCD is a parallelogram if the value of x is 5λ, then λ is

Topic: Angles in a Parallelogram

1°

2°

3°

4°

None

29.

If the diagonals of a quadrilateral bisect each other at right angles, then it is a

Topic: Properties of Rhombus

Trapezium

Parallelogram

Rectangle

Rhombus

None

30.

The length of the diagonals of a rhombus are 16 cm and 12 cm. The side of the rhombus is :

Topic: Properties of Rhombus

10 cm

12 cm

9 cm

8 cm

None

31.

ABCD is a rhombus with ∠ABC = 56°, then ∠ACB will be

Topic: Angles in a Rhombus

56°

124°

62°

34°

None

32.

LMNO is a trapezium with LM \|NO. If P and Q are the midpoints of LO and MN respectively and LM = 5 cm and ON = 10 cm then PQ =?

Topic: Theorem for Trapezium

2.5 cm

5 cm

7.5 cm

15 cm.

None

33.

In a right angle triangles ABC is right angled at B. Given that AB = 9 cm, AC = 15 cm and D, E are the mid-points of the sides AB and AC respectively, then the area of △ADE =

Topic: Area of Triangle and Midpoint Theorem

$ \displaystyle 67.5\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 27\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 13.5\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 29\text{ c}{{\text{m}}^{2}}$

None

34.

In the figure, ABCD is a parallelogram, then the value of x and y are

Topic: Properties of a Parallelogram

x = 60° y = 30°

x = 45° y = 60°

x = 15° y = 60°

x = 45° y = 45°

None

35.

In a parallelogram ABCD, ∠A = 70° ∠C = 70° , ⇒ ∠D = 110° and ∠B =? then

Topic: Angles in a Parallelogram

∠B = 70°

∠B = 110°

∠B = 60°

∠B = 120°

None

36.

The greatest angle of a quadrilateral is double the least. If the angles are in arithmetic series [a, a + d, a + 2d, a + 3d ], then other two angles are :

Topic: Angles of a Quadrilateral

60°, 120°

100°, 120°

80°, 100°

45°, 135°

None

37.

The diagonals of a rectangle ABCD meet at O. If ∠BOC = 44°, then ∠OAD is

Topic: Angles in a Rectangle

68°

44°

54°

None of these

None

38.

In quadrilateral ABCD, if ∠A = 60° and ∠B : ∠C : ∠D = 2 : 3 : 7, if ∠D = 25k, then the value of k

Topic: Angle Sum Property of a Quadrilateral

None

39.

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. If the largest angle is 26λ, then the value of λ is

Topic: Angles of a Quadrilateral

None

40.

In an equilateral triangle ABC the mid point of the side BC, CA and AB are D, E and F respectively. Then △DEF is

Topic: Midpoints in a Triangle

equilateral

isosceles

Right angled triangle

Acute

None

1 out of 40

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Class 9 Practice – Level 1 – Quadrilaterals

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