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#### Term 2 Geometry Book Back Questions

9th Standard

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
4 x 1 = 4
1. In a cyclic quadrilaterals ABCD, ㄥA=4x,ㄥC=2x the value of x is

(a)

30°

(b)

20°

(c)

15°

(d)

25°

2. In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ㄥQR = 80°, then ㄥTVS=

(a)

80°

(b)

100°

(c)

70°

(d)

90°

3. If one angle of a cyclic quadrilateral is 75° , then the opposite angle is

(a)

100°

(b)

105°

(c)

85°

(d)

90°

4. AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24cm then the distance of AB from the centre of the circle is

(a)

10cm

(b)

9cm

(c)

8cm

(d)

6cm

5. 3 x 1 = 3
6. Distance from the centre to any point on the circumference of the circle is called ____

()

7. A part of a circle between any two points is called a/an ________ of the circle

()

arc

8. A circle divides the plane into ________ parts.

()

three

9. 3 x 1 = 3
10. Line segment joining any two points on the circle is called radius of the circle.

(a) True
(b) False
11. Point of concurrency of the diameter is the centre of the circle

(a) True
(b) False
12. The boundary of the circle is called its circumference

(a) True
(b) False
13. 3 x 2 = 6
14. Find the length of the chord AC where AB and CD are the two diameters perpendicular to each other of a circle with radius 4 √2cm and also find ㄥOAC and ㄥOCA

15. A chord is 12cm away from the centre of the circle of radius 15cm. Find the length of the chor

16. In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?

17. 3 x 3 = 9
18. Construct the ΔLMN such that LM=7.5cm, MN=5cm and LN=8cm. Locate its centroid.

19. Draw the $\triangle$ABC , where AB = 6 cm, B = 110° and AC = 9 cm and construct the centroid.

20. Construct an equilateral triangle of side 6cm and locate its centroid and also its incentre. What do you observe from this?

21. 1 x 5 = 5
22. In the concentric circles, chord AB of the outer circle cuts the inner circle at C and D as shown in the diagram. Prove that, AB−CD=2AC