Maths : Geometry: Book Back, Exercise, Example Numerical Question with Answers, Solution: Exercise 4.7: One Mark Choose the correct Answers

**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

(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 3*x–*40, *x*+20 and 2*x–*10 then the value of* x *is

(1) 40°

**(2) 35° **

(3) 50°

(4) 45°

**Solution:**

3*x – *40 + *x* + 20 + 2*x* – 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
= 4*x*, ∠C = 2*x* 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]**

Tags : with Answers, Solution | Geometry | Maths , 9th Maths : UNIT 4 : Geometry

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

9th Maths : UNIT 4 : Geometry : Exercise 4.7: Multiple Choice Questions | with Answers, Solution | Geometry | Maths

**Related Topics **

Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2024 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.