Free Printable Class - X (Ch-6 TRIANGLES)

1.

Two polygons of the same number of sides are similar, if

(i) all the corresponding angles are equal

and

(ii) all the corresponding sides are in the same ratio .

a)

true

b)

false

2.

These two quadrilaterals are ____________________ ?

a)

Similar

b)

not similar

3.

name this mathematician .

a)

Thales

b)

Pythagoras

c)

Aryabhatta

d)

S.N. Ramanujan

4.

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

This result is known as _________ .

a)

B.P.T.

b)

Pythagoras theorem

c)

Criteria of similarity

d)

Theorem on areas of two similar triangles

5.

Identify the figure. In which theorem this figure is constructed ?

a)

B.P.T.

b)

Converse of B.P.T.

c)

Pythagoras theorem

d)

Converse of Pythagoras theorem

6.

If a line intersects sides AB and AC of a

\Delta

ABC at D and E respectively and is parallel to BC, then we have

a)

$\frac{AD}{AB}\ =\ \frac{AE}{AC}$

b)

$\frac{AD}{DB}\ =\ \frac{AE}{EC}$

c)

$\frac{DB}{AB}\ =\ \frac{EC}{AC}$

d)

All above

7.

All squares are __________________ ?

a)

equal

b)

similar

c)

congruent

d)

none of the above.

8.

In the given Fig. , DE || OQ and DF || OR. Then

a)

EF || QR

b)

OP || PQ

c)

DF || QR

d)

EF || OR

9.

ABCD is a trapezium in which AB || DC and its

diagonals intersect each other at the point O.Then

a)

\frac{OA}{OB\ }=\ \frac{OC}{OD}

b)

$\frac{OA}{OD\ }=\ \frac{OC}{OB}$

c)

$\frac{OA}{AB}\ =\ \frac{OB}{CD}$

10.

Are these two triangle similar ?

a)

yes , similar by S-S-S similarity criteria

b)

yes , similar by S-A-S similarity criteria

c)

No , not similar

d)

yes , similar by A-A-A similarity criteria

11.

Which of the following is not a rule of similarity of two triangles ?

a)

A-A-A

b)

R-H-S

c)

S-A-S

d)

S-S-S

12.

In given fig. ΔODC ~ ΔOBA , $\angle$ BOC = 125° and $\angle$ CDO = 70°. Find $\angle$ DCO .

a)

125 $\degree$

b)

55 $\degree$

c)

70 $\degree$

d)

65 $\degree$

13.

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time

a tower casts a shadow 28 m long. Find the height of the tower.

a)

42 m

b)

24 m

c)

84 m

d)

38 m

14.

Which of the following is the statement of PYTHAGORAS theorem ?

a)

If a perpendicular is drawn from

the vertex of the right angle of a right triangle to

the hypotenuse then triangles on both sides of

the perpendicular are similar to the whole triangle

and to each other.

b)

In a right triangle, the square of the hypotenuse is equal to the

sum of the squares of the other two sides.

c)

In a triangle, if square of one side is equal to the sum of the

squares of the other two sides, then the angle opposite the first side is a right

angle.

d)

None of these

15.

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

a)

42.25 m

b)

6.5 m

c)

5.6 m

d)

6.25 m

16.

Sides of triangles are given below. Determine which of them is not a right triangle .

a)

7 cm, 24 cm, 25 cm

b)

15 cm, 8 cm, 19 cm

c)

13 cm, 12 cm, 5 cm

d)

20 cm, 21 cm, 29 cm

17.

ABC is an equilateral triangle of side a. Length of each of its altitudes is ?

a)

$\frac{\sqrt{3}}{4}\ \ a^2$

b)

$\frac{\sqrt{3}}{2}a$

c)

$\frac{\sqrt{3}}{2}a^2$

d)

$\frac{\sqrt{3}}{4}a$

18.

The sum of the squares of the sides of a rhombus is equal to ______ ?

a)

the sum of its diagonals.

b)

the sum of the

squares of its diagonals.

c)

product of its diagonals

d)

sum of its sides and its diagonals

19.

An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour.
How far apart will be the two planes after $1\ \frac{1}{2}$ hours?

a)

$300\sqrt{61}$

b)

$30\sqrt{61}$

c)

$61\sqrt{30}$

d)

$61\sqrt{300}$

20.

Two poles of heights 4 m and 10 m stand on a

plane ground. If the distance between the feet

of the poles is 8 m, find the distance between

their tops.

a)

13 m

b)

10 m

c)

14 m

d)

18 m

Class - X (Ch-6 TRIANGLES)

Total questions: 20

Worksheet time: 31mins

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