CBSE Class 9 Mathematics Quadrilaterals Assignment Set B

Question. How many angles are there in a quadrilateral?
(a) 4
(b) 2
(c) 1
(d) 3
Answer : A

Question. One of the angles of a quadrilateral is 90° and the remaining three angles are in the ratio 2 : 3 : 4. Find the largest angle of the quadrilateral.
(a) 120°
(b) 90°
(c) 140°
(d) 100°
Answer : A

Question. A blackboard is in the shape of a
(a) Parallelogram
(b) Rhombus
(c) Rectangle
(d) Kite
Answer : C

Question. Which of the following is not true?
(a) The diagonals of a rectangle are equal.
(b) Diagonals of a square are equal.
(c) Diagonals of a parallelogram are not always equal.
(d) Diagonals of a kite are equal.
Answer : D

Question. In parallelogram ABCD, ∠DAB = 70°, ∠DBC = 70°, then ∠CDB is equal to

(a) 40°
(b) 60°°
(c) 70°
(d) 30°
Answer : A

Question. The angle between the diagonals of a rhombus is
(a) 45°
(b) 90°
(c) 30°
(d) 60°
Answer : B

Question. In DABC, EF || BC, F is the midpoint of AC and AE = 3.5 cm. Then AB is equal to

(a) 7 cm
(b) 5 cm
(c) 5.5 cm B C
(d) 4.5 cm
Answer : A

Question. Which type of quadrilateral is formed when the angles A, B, C and D are in the ratio 2 : 4 : 5 : 7 ?
(a) Rhombus
(b) Square
(c) Trapezium
(d) Rectangle
Answer : C

Question. A quadrilateral whose all the four sides and all the four angles are equal is called a
(a) Rectangle
(b) Rhombus
(c) Square
(d) Parallelogram
Answer : C

Question. In a quadrilateral ABCD, diagonals bisect each other at right angle. Also, AB = BC = AD = 5 cm, then find the length of CD.
(a) 5 cm
(b) 4 cm
(c) 2 cm
(d) 6 cm
Answer : A

Question. In the adjoining figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105° and ∠OXC = x°. Find the value of x.

(a) 75°
(b) 80°
(c) 60°
(d) 45°
Answer : C

Question. The three consecutive angles of a quadrilateral are 70°, 120° and 50°. The fourth angle of the quadrilateral is
(a) 45°
(b) 60°
(c) 120°
(d) 30°
Answer : C

Question. In the figure, ABCD is a quadrilateral whose sides AB, BC, CD and DA are produced in order to P, Q, R and S. Then x + y + z + t is equal to

(a) 180°
(b) 360°
(c) 380°
(d) 270°
Answer : B

Question. 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) rhombus
(b) parallelogram
(c) trapezium
(d) kite
Answer : C

Question. In the given figure, ABCD is a parallelogram. E and F are points on opposite sides AD and BC respectively, such that ED = 1/2 AD and BF = 1/3 BC. If ∠ADF = 60°, then find ∠BFD.

(a) 120°
(b) 130°
(c) 125°
(d) 115°
Answer : A

Question. If only one pair of opposite sides of a quadrilateral are parallel, then the quadrilateral is a
(a) Parallelogram
(b) Trapezium
(c) Rhombus
(d) Rectangle
Answer : B

Question. If the sum of angles of a triangle is X and the sum of the angles of a quadrilateral is Y, then
(a) X = 2Y
(b) 2X = Y
(c) X = Y
(d) X +Y = 360°
Answer : B

Question. Two angles of a quadrilateral are 55° and 65°. The other two angles are in the ratio 3 : 5.
The two angles are
(a) 100°, 110°
(b) 85°, 125°
(c) 100°, 120°
(d) 90°, 150°
Answer : D

Question. If a pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a
(a) parallelogram
(b) rectangle
(c) rhombus
(d) square
Answer : A

Question. If M and N are the mid-points of non parallel sides of a trapezium PQRS, then which of the following conditions is/are true?
(a) MN || PQ
(b) MN = 1/2 (PQ + RS)
(c) MN = 1/2 (PQ – RS)
(d) Both (a) and(b)
Answer : D

Question. In figure, ABCD is a trapezium. Find the values of x and y.

(a) x = 50°, y = 80°
(b) x = 50°, y = 88°
(c) x = 80°, y = 50°
(d) None of these
Answer : B

Question. In DPQR, A and B are respectively the midpoints of sides PQ and PR. If ∠PAB = 60°, then ∠PQR =
(a) 40°
(b) 80°
(c) 60°
(d) 70°
Answer : C

Question. The triangle formed by joining the midpoints of the sides of an equilateral triangle is
(a) scalene
(b) right angled
(c) equilateral
(d) isosceles
Answer : C

Question. In a parallelogram ABCD, if ∠A = 75°, then the measure of ∠B is
(a) 10°
(b) 20°
(c) 105°
(d) 90°
Answer : C

Question. In the given figure, ABCD is a parallelogram, what is the sum of the angles x, y and z?

(a) 180°
(b) 45°
(c) 60°
(d) 90°
Answer : A

Question. The four triangles formed by joining the mid-points of the sides of a triangle are
(a) congruent to each other
(b) non- congruent to each other
(c) always right angled triangle
(d) can’t be determined
Answer : A

Question. In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B =
(a) 60°
(b) 80°
(c) 120°
(d) None of these
Answer : A

Question. In the given figure, ABCD is a rhombus. If ∠A = 70°, then ∠CDB is equal to

(a) 65°
(b) 55°
(c) 75°
(d) 80°
Answer : B

Question. Two adjacent angles of a parallelogram are (2x + 25)° and (3x – 5)°. The value of x is
(a) 28
(b) 32
(c) 36
(d) 42
Answer : B

Question. If consecutive sides of a parallelogram are equal, then it is necessarily a
(a) Rectangle
(b) Rhombus
(c) Trapezium
(d) None of these
Answer : B

Question. The measure of all the angles of a parallelogram, if an angle is 24° less than twice the smallest angle, is
(a) 37°, 143°, 37°, 143°
(b) 108°, 72°, 108°, 72°
(c) 68°, 112°, 68°, 112°
(d) None of these
Answer : C

Question. Sides AB and CD of a quadrilateral ABCD are extended as in figure. Then a + b is equal to

(a) x + 2y
(b) x – y
(c) x + y
(d) 2x + y
Answer : C

Question. The triangle formed by joining the midpoints of the sides of a right angled triangle is
(a) scalene
(b) isosceles
(c) equilateral
(d) right angled
Answer : D

Question. In a quadrilateral STAR, if ∠S = 120°, and ∠T : ∠A : ∠R = 5 : 3 : 7, then measure of ∠R =
(a) 112°
(b) 120°
(c) 110°
(d) None of these
Answer : A

Question. In the adjoining figure, PQRS is a parallelogram in which PQ is produced to T such that QT = PQ. Then, OQ is equal to

(a) OS
(b) OR
(c) OT
(d) None of these
Answer : B

Quadrilaterals

Q 1 Name a quadrilateral whose each pair of opposite sides is equal.

Q 2 What is the sum of two consecutive angles in a parallelogram?

Q 3 The angles of quadrilateral are respectively 100 , 30 , 92 and x. Find the value of x.

Q 4 The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.

Q 5 Thee sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.

Q 6 In a triangle ABC, P,Q and R are the mid – points of sides BC, CA and AB respectively.
If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.

Q 7 Find the four angles P, Q, R and S in the parallelogram PQRS as shown below.

Q 8 Two opposite angles of a parallelogram are (5x + 1)° and (49 – 3x)°. Find the measure of these opposite angles of the parallelogram.

Q 9 Prove that each of the four sides of a rhombus is of the same length.

Q 10 ABCD is a rhombus. Show that diagonals AC bisects angle A as well as angle C.

Please Click on link below to download CBSE Class 9 Mathematics Quadrilaterals Assignment Set B