NCERT MCQ ON QUADRILATERALS
Question 1.
Three angles of a quadrilateral are 75°, 90°and 75°, the fourth angle is
(a) 90°
(b) 95°
(c) 105°
(d) 120°
Answer: (d) 120°
Question 2.
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°
Answer: (b) 50°
Question 3.
ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is
(a) 40°
(b) 45°
(c) 50°
(d) 60°
Answer: (c) 50°
Question 4.
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.
Answer: (c) trapezium
Question 5.
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°
Answer: (c) 38°
Question 6.
ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to
(a) 40°
(b) 45°
(c) 50°
(d) 20°
Answer: (a) 40°
Question 7.
In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 60°, then ∠GFE is
(a) 30°
(b) 60°
(c) 90°
(d) 120°
Answer: (b) 60°
Question 8.
The bisectors of any two adjacent angles of a || gm intersect at
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Answer: (d) 90°
Question 9.
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°
Answer: (c) 112°
Question 10.
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
Answer: (b) 15 cm
Question 11.
In the given figure, ABCD is a parallelogram. Find the value of x.
(a) 25°
(b) 60°
(c) 75°
(d) 45°
Answer: (d) 45°
Question 12 .
1. The quadrilateral whose all its sides are equal and angles are equal to 90 degrees, it is called:
a. Rectangle
b. Square
c. Kite
d. Parallelogram
Answer: (b) square
Question 13.
The sum of all the angles of a quadrilateral is equal to:
a. 180°
b. 270°
c. 360°
d. 90°
Answer: (c) 360°
Question 14.
A trapezium has:
a. One pair of opposite sides parallel
b. Two pair of opposite sides parallel to each other
c. All its sides are equal
d. All angles are equal
Answer: (a) One pair of opposite sides parallel
Question 15.
A rhombus can be a:
a. Parallelogram
b. Trapezium
c. Kite
d. Square
Answer: (d) Square
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