Geometry Important Questions

9th Standard

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
6 x 1 = 6
1. It is not possible to construct a triangle when its sides are

(a)

8.2 cm, 3.5 cm, 6.5 cm

(b)

6.3 cm, 3.1 cm, 3.2 cm

(c)

7 cm, 8 cm, 10 cm

(d)

4 cm, 6 cm, 6 cm

2. In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is

(a)

150°

(b)

30°

(c)

105°

(d)

72°

3. In the given figure CE || DB then the value of x0 is

(a)

45°

(b)

30°

(c)

75°

(d)

85°

4. The correct statement out of the following is

(a)

ΔABC ≅ ΔDEF

(b)

ΔABC ≅ ΔDEF

(c)

ΔABC ≅ ΔFDE

(d)

ΔABC ≅ ΔFED

5. The interior angle made by the side in a parallelogram is 90° then the parallelogram is a

(a)

rhombus

(b)

rectangle

(c)

trapezium

(d)

kite

6. If sum of two opposite angles of a cyclic quadrilateral is_________

(a)

45°

(b)

90°

(c)

180°

(d)

360°

7. 4 x 1 = 4
8. The diagonals of a rhombus bisect each other at ________

()

right angles

9. A rhombus is a quadrilateral with _____ of equal length

()

sides

10. Half of the diameter is called_________

()

11. The line joining two points on a circle is called_______

()

Chord

12. 4 x 1 = 4
13. Line segment joining any two points on the circle is called radius of the circle

(a) True
(b) False
14. The boundry of the circle is called its circumference

(a) True
(b) False
15. Sector is the region between chord and its corresponding arc.

(a) True
(b) False
16. Radius of a circle is a chord

(a) True
(b) False
17. 6 x 2 = 12
18. Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
70°

19. Find the supplement of the following angles.
140°

20. Find the supplement of the following angles.
Right angle

21. Find the value of x

22. Find the value of x

23. Draw the circumcircle for, An equilateral triangle of side 7 cm.

24. 3 x 3 = 9
25. In the figure, AB is parallel to CD, find x

26. In a parallelogram ABCD, P and Q are the points on line DB such that PD = BQ show that APCQ is a parallelogram.

27. In the figure find x0 and y0.

28. 3 x 5 = 15
29. Construct ΔABC with AB = 5 cm ㄥB = 1000 and BC = 6 cm. Also locate its circumcentre draw circumcircle.

30. Construct ΔPQR whose sides are PQ = 6 cm ㄥQ = 600 and QR = 7 cm and locate its Orthocentre.

31. The lengths of the diagonals of a Rhombus are 12 cm and 16 cm . Find the side of the rhombus.