Class 9 Mathematics MCQ Quadrilaterals

Question : In parallelogram ABCD, if ∠A = 2x + 15°, ∠B = 3x – 25°, then value of x is:
(a) 91°
(b) 89°
(c) 34°
(d) 38°

Question : Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be
(a) 4.5 cm
(b) 6.5 cm
(c) 2.5 cm
(d) 3.0 cm

Question : In quadrilateral PQRS, if ∠P = 60° and ∠Q : ∠R : ∠S = 2 : 3 : 7, then ∠S =
(a) 175°
(b) 210°
(c) 150°
(d) 135°

Question : Each angle of rectangle is:
(a) More than 90°
(b) Less than 90°
(c) Equal to 90°
(d) Equal to 45°

Question : The diagonals of rhombus are 12 cm and 16 cm. The length of the side of rhombus is:
(a) 12 cm
(b) 16 cm
(c) 8 cm
(d) 10 cm

Question : A rhombus can be a:
(a) Parallelogram
(b) Trapezium
(c) Kite
(d) Square

Question : A diagonal of a parallelogram divides it into two congruent:
(a) Square
(b) Parallelogram
(c) Triangles
(d) Rectangle

Question : In a parallelogram, opposite angles are:
(a) Equal
(b) Unequal
(c) Cannot be determined
(d) None of the above

Question : The diagonals of a parallelogram:
(a) Equal
(b) Unequal
(c) Bisect each other
(d) Have no relation

Question : Each angle of the rectangle is:
(a) More than 90°
(b) Less than 90°
(c) Equal to 90°
(d) Equal to 45°

Question : The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are:
(a) 36°, 60°, 108°, 156°
(b) 48°, 60°, 120°, 132°
(c) 52°, 60°, 122°, 126°
(d) 60°, 60°, 120°, 120°

Question : If ABCD is a trapezium in which AB || CD and AD = BC, then:
(a) ∠A = ∠B
(b) ∠A > ∠B
(c) ∠A < ∠B
(d) None of the above

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) Kite
(b) Rhombus
(c) Parallelogram
(d) Trapezium

Question : The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
(a) PQRS is a rectangle
(b) PQRS is a parallelogram
(c) Diagonals of PQRS are perpendicular
(d) Diagonals of PQRS are equal

Question : The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is
(a) a square
(b) a rhombus
(c) a rectangle
(d) any parallelogram

Question : If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form
(a) Square
(b) Rectangle
(c) Rhombus
(d) any other parallelogram

Question : Which of the following is not a quadrilateral?
(a) Kite
(b) Square
(c) Triangle
(d) Rhombus

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

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

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

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°

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

(a) 40°
(b) 60°°
(c) 70°
(d) 30°

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

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

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)

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°

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

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.

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

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

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

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

Question : ∠ECF is equal to which angle?
(a) ∠EAD
(b) ∠ADE
(c) ∠AED
(d) ∠B

Question : CF is parallel to
(a) AE
(b) CE
(c) BD
(d) AC

Question : ΔADE and ΔCFE are congruent by which criterion?
(a) SSS
(b) SAS
(c) RHS
(d) ASA

Question : CF is equal to
(a) EC
(b) BE
(c) BC
(d) AD

Question : ∠EFC is equal to which angle?
(a) ∠DAE
(b) ∠EDA
(c) ∠AED
(d) ∠DBC

Question : If AX and CY are the bisectors of the angles A and C of a parallelogram ABCD, then 

(a) AX || CY 
(b) AX || CD
(c) AX || AB
(d) None of these

Question : Which of the following is/are the condition(s) for ABCD to be a quadrilateral?
(a) The four points A, B, C and D must be distinct and co-planar.
(b) No three of points A, B, C and D are collinear.
(c) Line segments i.e., AB, BC, CD, DA intersect at their end points only.
(d) All of these

Question : If angles of a quadrilateral are in ratio 3 : 5 : 5 : 7, then find all the angles.
(a) 54°, 80°, 80°, 146°
(b) 34°, 100°, 100°, 126°
(c) 54°, 90°, 90°, 126°
(d) None of these

Question : Which of the following is wrong condition for a quadrilateral said to be a parallelogram?
(a) Opposite sides are equal
(b) Opposite angles are equal
(c) Diagonal can’t bisect each other
(d) None of these

Question : ABCD and AEFG are two parallelograms. If ∠C = 63°, then determine ∠G.

(a) 63°
(b) 117°
(c) 90°
(d) 120°