#### Geometry - Important Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50

Part A

15 x 1 = 15
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. The exterior angle of a triangle is equal to the sum of two

(a)

Exterior angles

(b)

Interior opposite angles

(c)

Alternate angles

(d)

Interior angles

3. ABCD is a square, diagonals AC and BD meet at O. The number of pairs of congruent triangles are

(a)

6

(b)

8

(c)

4

(d)

12

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

(a)

45°

(b)

30°

(c)

75°

(d)

85°

5. The correct statement out of the following is

(a)

ΔABC ≅ ΔDEF

(b)

ΔABC ≅ ΔDEF

(c)

ΔABC ≅ ΔFDE

(d)

ΔABC ≅ ΔFED

6. If the diagonal of a rhombus are equal, then the rhombus is a

(a)

Parallelogram but not a rectangle

(b)

Rectangle but not a square

(c)

Square

(d)

Parallelogram but not a square

7. If bisectors of ∠A and ∠B of a quadrilateral ABCD meet at O, then ∠AOB is

(a)

∠C + ∠D

(b)

$\frac { 1 }{ 2 } (\angle C+\angle D)$

(c)

$\frac { 1 }{ 2 } \angle C+\frac { 1 }{ 3 } \angle D$

(d)

$\frac { 1 }{ 3 } \angle C+\frac { 1 }{ 2 } \angle D$.

8. The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is

(a)

40°

(b)

35°

(c)

50°

(d)

45°

9. What is the name of a regular polygon of six sides?

(a)

Square

(b)

Equilateral triangle

(c)

Regular hexagon

(d)

Regular octagon

10. One angle of a parallelogram is a right angle. The name of the quadrilateral is ______

(a)

square

(b)

rectangle

(c)

rhombus

(d)

kite

11. If all the four sides of a parallelogram are equal and the adjacent angles are of 120° and 60°, then the name of the quadrilateral is ______

(a)

rectangle

(b)

square

(c)

rhombus

(d)

kite

12. In a parallelogram $\angle{A}:\angle{B}=1:2$ Then ㄥA ............

(a)

30°

(b)

60°

(c)

45°

(d)

90°

13. Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides?

(a)

$\frac { n }{ 2 }$ x 180

(b)

$\left( \frac { n+1 }{ 2 } \right)$1800

(c)

$\left( \frac { n-1 }{ 2 } \right)$1800

(d)

(n-2)1800

14. Diagonal of which of the following quadrilaterals do not bisect it into two congruent triangles?

(a)

rhombus

(b)

trapezium

(c)

square

(d)

rectangle

15. The point of concurrency of the medians of a triangle is known as __________

(a)

circumcentre

(b)

incentre

(c)

orthocentre

(d)

centroid

16. Part B

5 x 2 = 10
17. Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
70°

18. Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
27°

19. Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
45°

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

21. Find the supplement of the following angles.
121°48′

22. Part C

5 x 3 = 15
23. Let m || n and l is a transversal Such that ∠1 : ∠2 = 11 : 7. Determine all the eight angles.

24. In the figure, AB is parallel to CD, find x

25. In the figure, AB is parallel to CD, find x

26. Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

27. Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

28. Part D

2 x 5 = 10
29. The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. Find all the angles.

30. In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x–10 and x + 4. Find the value of x and the measure of all the angles.