Free Printable RUBI THERESA - 9TH SAMACHEER MATHEMATICS -II MID TERM

1.

The exterior angle of a triangle is equal to the sum of two

a)

Exterior angles

b)

Alternate angles

c)

Interior opposite angles

d)

Interior angles

2.

In the quadrilateral $ABCD$ , $AB=BC$ and $AD=DC.$ Measure of $\angle BCD$ is

a)

$150\degree$

b)

$30\degree$

c)

$105\degree$

d)

$72\degree$

3.

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

a)

12

b)

4

c)

8

d)

6

4.

In the given figure $CE\ \parallel DB$ then the value of $x\degree$ is

a)

$30\degree$

b)

$85\degree$

c)

$45\degree$

d)

$75\degree$

5.

The correct statement out of the following is

a)

$\Delta ABC\cong\Delta DEF$

b)

$\Delta ABC\cong\Delta DFE$

c)

$\Delta ABC\cong\Delta FDE$

d)

$\Delta ABC\cong\Delta FED$

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 $\angle A$ and $\angle B$ of a quadrilateral $ABCD$ meet at $O$ , then $\angle AOB$ is

a)

$\angle C\ +\angle D$

b)

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

c)

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

d)

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

8.

The interior angle made by the side in a parallelogram is $90\degree$ then the parallelogram is a

a)

rhombus

b)

rectangle

c)

trapezium

d)

kite

9.

Which of the following statement is correct?

a)

Opposite angles of a parallelogram are not equal

b)

Adjacent angles of a parallelogram are complementary

c)

Diagonals of a parallelogram are always equal

d)

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

a)

$40\degree$

b)

$50\degree$

c)

$35\degree$

d)

$45\degree$

11.

$PQ\ and\ RS$ are two equal chords of a circle with centre $O$ such that $\angle POQ=70\degree$ , then $\angle ORS=$

a)

$60\degree$

b)

$70\degree$

c)

$80\degree$

d)

$55\degree$

12.

A chord is at a distance of $15\ cm$ from the centre of the circle of radius $25\ cm.$ The length of the chord is

a)

25 cm

b)

20 cm

c)

40 cm

d)

18 cm

13.

In the figure, $O$ is the centre of the circle and $\angle ACB=40\degree\ then\ \angle AOB=$

a)

$80\degree$

b)

$85\degree$

c)

$70\degree$

d)

$65\degree$

14.

In a cyclic quadrilaterals $ABCD,$ $\angle A=4x,\ \angle C=2x$ the value of $x$ is

a)

$30\degree$

b)

$20\degree$

c)

$15\degree$

d)

$25\degree$

15.

In the figure, $O$ is the centre of a circle and diameter $AB$ bisects the chord $CD$ at a point $E$ such that $CE=ED=8\ cm\ and\ EB=4\ cm.$ The radius of the circle is

a)

8 cm

b)

4 cm

c)

6 cm

d)

10 cm

16.

In the figure, $PQRS\ and\ PTVS\$ are two cyclic quadrilaterals, If $\angle QRS=100\degree,\ then\ \angle TVS\ =$

a)

$80\degree$

b)

$100\degree$

c)

$70\degree$

d)

$90\degree$

17.

If one angle of a cyclic quadrilateral is $75\degree,$ then the opposite angle is

a)

$100\degree$

b)

$105\degree$

c)

$85\degree$

d)

$90\degree$

18.

In the figure, $ABCD$ is a cyclic quadrilateral in which $DC$ produce to $E\ and\ CF$ is drawn parallel to $AB\$ such that $\angle ADC=80\degree$ AND $\angle ECF=20\degree$ , then $\angle BAD=?$

a)

$100\degree$

b)

$20\degree$

c)

$120\degree$

d)

$110\degree$

19.

$AD$ is a diameter of a circle and $AB$ is a chord if $AD=30cm\ and\ AB=24cm$ then the distance of $AB$ from the centre of the circle is

a)

10 cm

b)

9 cm

c)

8 cm

d)

6 cm

20.

In the given figure, If $OP=17\ cm,\ PQ=30\ cm$ and $OS$ is

perpendicular to $PQ$ , then $RS$ is

a)

10 cm

b)

6 cm

c)

7 cm

d)

9 cm

21.

If the $y-coordinate$ of a point is zero, then the point always lies ______

a)

in the $I$ quadrant

b)

in the $II$ quadrant

c)

on $x-axis$

d)

on $y-axis$

22.

The points (–5, 2) and (2, –5) lie in the ________

a)

same quadrant

b)

$II\ and\ III\$ quadrant respectively

c)

$II\ and\ IV$ quadrant respectively

d)

$IV\ and\ II$ quadrant respectively

23.

On plotting the points $O(0,0),\ A(3,-4),\ B(3,4)\ and\ C(0,4)$ and joining $OA,\ AB,\ BC\ and\ CO,$ which of the following figure is obtained?

a)

Square

b)

Rectangle

c)

Trapezium

d)

Rhombus

24.

If $P(-1,1),\ Q(3,-4),\ R(1,-1),\ S(-2,-3)\ and\ T(-4,4)$ are plotted on a graph paper, then the points in the fourth quadrant are __________

a)

$P\ and\ T$

b)

$Q\ and\ R$

c)

$Only\ S$

d)

$P\ and\ Q$

25.

The point whose ordinate is $4$ and which lies on the y-axis is _______________

a)

(4,0)

b)

(0,4)

c)

(1,4)

d)

(4,2)

26.

The distance between the two points $(2,3)\ and\ (1,4)$ is ______

a)

2

b)

$\sqrt[]{56}$

c)

$\sqrt[]{10}$

d)

$\sqrt[]{2}$

27.

If the points $A(2,0),\ B(-6,0),\ C(3,\ a-3)$ lie on the $x-axis$ then the value of $a$ is _____

a)

0

b)

2

c)

3

d)

-6

28.

If $(x+2,\ 4)=(5,\ y-2),$ then the coordinates $(x,y)$ are _____

a)

(7, 12)

b)

(6, 3)

c)

(3, 6)

d)

(2, 1)

29.

If $Q_1,\ Q_2,\ Q_3,\ Q4$ are the quadrants in a Cartesian plane then $Q_2\cap Q_3$ is ___________

a)

$Q_1\cup Q_2$

b)

$Q_2\cup Q_3$

c)

Null set

d)

Negative x- axis

30.

The distance between the point ( 5, –1 ) and the origin is _________

a)

$\sqrt[]{24}$

b)

$\sqrt[]{37}$

c)

$\sqrt[]{26}$

d)

$\sqrt[]{17}$

31.

The coordinates of the point $C$ dividing the line segment joining the points $P(2,4)\ and\ Q(5,7)$ internally in the ratio $2:1$ is

a)

$\left(\frac{7}{2},\ \frac{11}{2}\right)$

b)

$\left(3,5\right)$

c)

$\left(4,4\right)$

d)

$\left(4,6\right)$

32.

If $P\left(\frac{a}{3},\ \frac{b}{2}\right)$ is the mid-point of the line segment joining $A(−4,3)\ and\ B(−2,4)$ then $(a,b)$ is

a)

$\left(-9,7\right)$

b)

$\left(-3,\frac{7}{2}\right)$

c)

$\left(9,-7\right)$

d)

$\left(3,-\frac{7}{2}\right)$

33.

In what ratio does the point $Q(1,6)$ divide the line segment joining the points $P(2,7)\ and\ R(−2,3)$

a)

1:2

b)

2:1

c)

1:3

d)

3:1

34.

If the coordinates of one end of a diameter of a circle is $(3,4)$ and the coordinates of its centre is $(−3,2),$ then the coordinate of the other end of the diameter is

a)

(0,-3)

b)

(0,9)

c)

(3,0)

d)

(-9,0)

35.

The ratio in which the x-axis divides the line segment joining the points $A\left(a_1,b_1\right)$ and $B\left(a_2,b_2\right)$ is

a)

$b_1:b_2$

b)

$-b_1:b_2$

c)

$a_1:a_2$

d)

$-a_1:a_2$

36.

The ratio in which the x-axis divides the line segment joining the points (6,4) and

(1, −7) is

a)

2:3

b)

3:4

c)

4:7

d)

4:3

37.

If the coordinates of the mid-points of the sides $AB,\ BC\ and\ CA$ of a triangle are $(3,4),\ (1,1)\ and\ (2,−3)$ respectively, then the vertices $A\ and\ B$ of the triangle are

a)

(3,2), (2,4)

b)

(4,0), (2,8)

c)

(3,4), (2,0)

d)

(4,3), (2,4)

38.

The mid-point of the line joining $(−a,\ 2b)\ and\ (−3a,−4b)$ is

a)

$(2a,\ 3b)$

b)

$(−2a,−b)$

c)

$(2a,\ b)$

d)

$(−2a,−3b)$

39.

In what ratio does the y-axis divides the line joining the points $(−5,1)\ and\ (2,3)$ internally

a)

1:3

b)

2:5

c)

3:1

d)

5:2

40.

If $(1,−2),\ (3,6),\ (x,10)\ and\ (3,2)$ are the vertices of the parallelogram taken in order, then the value of $x$ is

a)

6

b)

5

c)

4

d)

3

RUBI THERESA - 9TH SAMACHEER MATHEMATICS -II MID TERM - 1MARKS

Total questions: 40

Worksheet time: 20mins

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