Q 1 – Three angles of a quadrilateral are 75°, 90°and 75°, the fourth angle is
(a) 90°
(b) 95°
(c) 105°
(d) 120°
Q 2 – The given figure shows a right triangle ABC, right-angled at B. D and E are points on the side AB and AC respectively, such that AD = DB = 3cm, AE = 5 cm and DE ⊥ AB.
What is the length of BC?
a) 4 cm
b) 6 cm
c) 8 cm
d) 10 cm
Q 3 – The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?
(a) 82°
(b) 52°
(c) 68°
(d) 75°
Q 4 – A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is
(a) 55°
(b) 50°
(c) 40°
(d) 25°
Q 5 – 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
Q 6 – If the angles of a quadrilateral are in the ratio of 6 : 8 : 10 : 12, then what are the angles?
a) 15°, 20°, 25°, 30°
b) 30°, 40°, 50°, 60°
c) 60°, 80°, 100°, 120°
d) 120°, 160°, 200°, 240°
Q 7 – The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will be
(a) 115°, 79°, 118°, 48°
(b) 100° 79°, 118°, 63°
(c) 110°, 84°, 106°, 60°
(d) 75°, 89°, 128°, 68°
Q 8 – ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is
(a) 40°
(b) 45°
(c) 50°
(d) 60°
Q 9 – In quadrilateral PQRS, if ∠P = 60° and ∠Q : ∠R : ∠S = 2 : 3 : 7, then ∠S =
(a) 175°
(b) 210°
(c) 150°
(d) 135°
Q 10 – If angles A, B, C and D of a 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
Q 11 – In parallelogram ABCD, if ∠A = 2x + 15°, ∠B = 3x – 25°, then value of x is:
(a) 91°
(b) 89°
(c) 34°
(d) 38°
Q 12 – The diagonals AC and BD of a || gm ABCD intersect each other at the point O. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to
(a) 24°
(b) 86°
(c) 38°
(d) 32°
Q 13 – 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
Q 14 – ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to
(a) 40°
(b) 45°
(c) 50°
(d) 20°
Q 15 – The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD taken in order is a square only if
(a) ABCD is a rhombus
(b) Diagonals of ABCD are equal
(c) Diagonals of ABCD are equal and perpendicular
(d) Diagonals of ABCD are perpendicular
Q 16 – In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 60°, then ∠GFE is
(a) 30°
(b) 60°
(c) 90°
(d) 120°
Q 17 – Which of the following is not true for a parallelogram?
(a) Diagonals bisect each other
(b) Opposite sides are equal
(c) Opposite angles are equal
(d) Opposite angles are bisected by the diagonals
Q 18 – The given figure shows trapezium ABCD where AB DC and AD = BC.
Which of the following relations is always true?
a) ∠A = ∠B
b) ∠D = ∠C
c) ∠A = ∠C
d) ∠B = ∠C
Q 19 – The bisectors of any two adjacent angles of a || gm intersect at
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Q 20 – The given figure shows a triangle ABC. D and E are the points on the sides AB and AC respectively such that AD = DB and AE = EC.
If ∠DEC measures 140°, then what is the measure of ∠C ?
a) 40°
b) 50°
c) 80°
d) 90°
Q 21 – If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of a parallelogram is
(a) 176°
(b) 68°
(c) 112°
(d) 102°
Q 22 – Mary owns a quadrilateral shaped barren field, all sides of which re of different lengths. She joined the mid-points of the four sides of the field and planted trees in the area enclosed by the lines. The area in which she planted trees is in the shape of a
a) square
b) trapezium
c) parallelogram
d) rhombus
Q 23 – The midpoints of a rectangle are joined to form a quadrilateral. The midpoints of the quadrilateral thus formed are again joined. This process is continued for the next 5 times. The quadrilateral formed in the last step is a
a) rhombus
b) rectangle
c) parallelogram
d) square
√
Q 24 – The given figure shows a square ABCD. E and F are the mid-points of sides CD and DA respectively.
If the area of square ABCD is 196 cm2, then what is the perimeter of ∆ DEF?
a) 7 √2 [1 + √2] cm
b) 14 √2 cm
c) 7 √3 [1 + √3] cm
d) 18 √3 cm
Q 25 – If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
(a) 16 cm
(b) 15 cm
(c) 20 cm
(d) 17 cm
Q 26 – In the given figure, ABCD is a parallelogram. Find the value of x.
(a) 25°
(b) 60°
(c) 75°
(d) 45°
Q 27 – wxyz is a square and u and v are the mid points of the sides wz and xy respectively. The length of the side wx = 16 cm.
The area of the triangle ouz is
a) 16 cm2
b) 18cm2
c) 32cm2
d) 36 cm2