Exercise 4.7
Multiple Choice Questions
1. The exterior
angle of a triangle is equal to the sum of two
(1) Exterior
angles
(2) Interior opposite angles
(3) Alternate
angles
(4)
Interior angles
Solution:
Exterior angle = 180°
- Interior angle = sum of interior opprsite angle
[Answer: (2) Interior opposite angles]
2. In the
quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is
(1) 150°
(2) 30°
(3) 105°
(4) 72°
Solution:
[Answer: (3) 105°]
3. ABCD is
a square, diagonals AC and BD meet at O. The number of pairs
of congruent triangles with vertex O are
(1) 6
(2) 8
(3) 4
(4) 12
[Answer: (1) 6]
4. In the
given figure CE || DB then the value of xº
is
(1) 45°
(2) 30°
(3) 75°
(4) 85°
Solution:
35° + x° + 60° = 180°
x=85°
[Answer: (4) 85°]
5. The correct
statement out of the following is
(1) ΔABC
≈ ΔDEF
(2) ΔABC
≈ ΔDEF
(3) ΔABC
≈ ΔFDE
(4) ΔABC ≈ ΔFED
Solution:
∠C = ∠D; ∠B=E; ∠A=∠F
[Answer: (4) ΔABC ≈ ΔFED]
6. If the diagonal of a rhombus are equal, then the rhombus is a
(1) Parallelogram
but not a rectangle
(2) Rectangle
but not a square
(3) Square
(4) Parallelogram
but not a square
[Answer: (3) Square]
7. If bisectors
of ∠A and ∠B of a quadrilateral ABCD meet at O,
then ∠AOB is
(1) ∠C + ∠D
(2) 1/2 (∠C+ ∠D)
(3) 1/2 ∠C + 1/3 ∠D
(4) 1/3 ∠C + 1/2 ∠D
Solution:
[Answer: (2) 1/2 (∠C+ ∠D)]
8. The interior
angle made by the side in a parallelogram is 90° then the parallelogram is a
(1) rhombus
(2) rectangle
(3)
trapezium
(4) kite
Solution:
If one angle of a parallelogram is 90◦, then it is a
rectangle.
[Answer: (2) rectangle]
9. Which
of the following statement is correct?
(1) Opposite
angles of a parallelogram are not equal.
(2) Adjacent
angles of a parallelogram are complementary.
(3) Diagonals
of a parallelogram are always equal.
(4) Both pairs of opposite sides of a
parallelogram are always equal.
Solution:
Opposite sides of aparallelogram are equal.
[Answer: (4) Both pairs of opposite sides of a parallelogram
are always equal.]
10. The angles
of the triangle are 3x–40, x+20 and 2x–10 then the value of x is
(1) 40°
(2) 35°
(3) 50°
(4) 45°
Solution:
3x – 40 + x + 20 + 2x – 10 = 180°
6x = 210
x=35°
[Answer: (2) 35°]
11. PQ and
RS are two equal chords of a circle with centre O such that ∠POQ = 70° , then ∠ORS =
(1) 60°
(2) 70°
(3) 55°
(4) 80°
Solution:
[Answer: (3) 55°]
12. A chord
is at a distance of 15cm from the centre of the circle of radius 25cm. The length
of the chord is
(1) 25cm
(2) 20cm
(3) 40cm
(4) 18cm
Solution:
[Answer: (3) 40cm]
13. In the
figure, O is the centre of the circle and ∠ACB= 40° then ∠AOB =
(1) 80°
(2) 85°
(3) 70°
(4) 65°
Solution:
∠AOB = 2 x
[Answer: (1) 80°]
14. In a cyclic quadrilaterals ABCD, ∠A = 4x, ∠C = 2x the value of x is
(1) 30°
(2) 20°
(3) 15°
(4) 25°
Solution:
[Answer: (1) 30°]
15. In the
figure, O is the centre of a circle and diameter AB bisects the chord CD at a point
E such that CE=ED=8 cm and EB=4cm. The
radius of the circle is C
(1) 8cm
(2) 4cm
(3) 6cm
(4) 10cm
Solution:
[Answer: (4) 10cm]
16. In the
figure, PQRS and PTVS are two cyclic quadrilaterals, If ∠QRS = 100°, then ∠TVS =
(1) 80°
(2) 100°
(3) 70°
(4) 90°
Solution:
[Answer: (1) 80°]
17. If one angle of a cyclic quadrilateral is 75° , then the opposite angle is
(1) 100°
(2) 105°
(3) 85°
(4) 90°
Solution:
180° – 75° = 105°
[Answer: (2) 105°]
18.
In the figure, ABCD is a cyclic quadrilateral in which DC produced
to E and CF is drawn parallel to AB such that ∠ADC = 80° and ∠ECF = 20°, then ∠BAD
=
?
(1) 100°
(2) 20°
(3) 120°
(4) 110°
Solution:
[Answer: (3) 120°]
19. AD is
a diameter of a circle and AB is a chord If AD =
30 cm and AB =
24 cm then the distance of AB
from the centre of the circle is
(1) 10cm
(2) 9cm
(3) 8cm
(3) 6cm
Solution:
[Answer: (2) 9cm]
20. In the
given figure, If OP = 17cm, PQ =
30 cm and OS is perpendicular to PQ
, then RS is
(1) 10cm
(2) 6cm
(3) 7cm
(4) 9cm.
Solution:
[Answer: (4) 9cm]
Related Topics
Privacy Policy, Terms and Conditions, DMCA Policy and Compliant
Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.