Free Printable Triangles 10TH CLASS

1.

All circles are

a)

similar

b)

congruent

c)

both similar and congruent

d)

none of these

2.

All _____ triangles are similar

a)

scalene

b)

isosceles

c)

equilateral

d)

right angled

3.

If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side

a)

equal

b)

parallel

c)

intersecting

d)

coinciding

4.

in the fig, if DE ll BC then find the value of AD

a)

16

b)

8

c)

4

d)

32

5.

In the fig, DE ll BC. find the value of EC

a)

4

b)

18

c)

12

d)

16

6.

The mathematician who proposed basic proportionality theorem

a)

Pythagoras

b)

thales

c)

euclid

d)

Aryabhatta

7.

Two poles of height 9 m and 15 m stand vertically upright on a plain ground, if the distance between their tops is 10 m then the distance between their foot is

a)

9 m

b)

7 m

c)

8 m

d)

6 m

8.

\Delta ABC

is an isosceles triangle in which

\angle C=90\degree

. If AC =6 cm, AB=

a)

6 $\sqrt{2}$ cm

b)

6 cm

c)

2 $\sqrt{6}$ cm

d)

4 $\sqrt{2}$ cm

9.

In a $\Delta\ ABC$ , a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects $\angle XYC$ , then

a)

BC=CY

b)

BC=BY

c)

BC $\ne$ CY

d)

BC $\ne$ BY

10.

In an isosceles triangle ABC, if AB=AC=25 cm and BC=14 cm, then the measure of altitude from A on BC is

a)

20 cm

b)

22 cm

c)

18 cm

d)

24 cm

11.

The length of hypotenuse of an isosceles right triangle whose one side is 4 $\sqrt{2}$ cm is

a)

12cm

b)

8cm

c)

8 $\sqrt{2}$ cm

d)

12 $\sqrt{2}$ cm

12.

In figure,

QA\ \perp\ AB\ and\ PB\ \perp\ AB.\

If AO = 20 cm, BO = 12 cm PB = 18 cm, then AQ = ?

a)

32 cm

b)

28 cm

c)

30 cm

d)

35 cm

13.

If in two triangles ABC and PQR, $\frac{AB}{QR}=\ \frac{BC}{PR}=\ \frac{CA}{PQ}$ , then ..

a)

$\Delta\ PQR\ \sim\Delta\ CAB$

b)

$\Delta\ PQR\ \sim\Delta\ ABC$

c)

$\Delta\ CBA\ \sim\Delta\ PQR$

d)

$\Delta\ BCA\ \sim\Delta\ PQR$

14.

∆ABC ~ ∆QRP, ar(ΔABC)/ar(ΔPQR) =9/4

AB = 18 cm and BC = 15 cm, then find the length of PR.

a)

20cm

b)

10cm

c)

15cm

d)

25cm

15.

If it is given that ∆ABC ~ ∆PQR with BC/QR = 1/3

then find ar(ΔPQR)/ar(ΔABC)

a)

9:1

b)

3:1

c)

1:9

d)

1:3

16.

∆DEF ~ ∆ABC, if DE : AB = 2 : 3 and ar(∆DEF) is equal to 44 square units. Find the area (∆ABC).

a)

33cm²

b)

85cm²

c)

90cm²

d)

99cm²

17.

Is the triangle with sides 12 cm, 16 cm and 18 cm a right triangle?

a)

no

b)

yes

c)

none

18.

In triangles PQR and TSM, ∠P = 55°, ∠Q = 25°, ∠M = 100°, and ∠S = 25°. Is ∆QPR ~ ∆TSM?

a)

no

b)

yes

c)

none

19.

If the ratio of the perimeter of two similar triangles is 4 : 25, then find the ratio of the areas of the similar triangles.

a)

4:25

b)

2:5

c)

16:625

20.

The length of the diagonals of a rhombus are 16 cm and 12 cm. Find the length of side of the rhombus.

a)

12cm

b)

10cm

c)

8cm

d)

6cm

21.

A man goes 24 m towards West and then 10 m towards North. How far is he from the starting point?

a)

26cm

b)

25cm

c)

24cm

d)

34cm

22.

∆ABC ~ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF is 25 cm, what is the perimeter of ∆ABC?

a)

25cm

b)

30cm

c)

35cm

d)

45cm

23.

AO/OC = BO/OD= 1/2 and AB = 5cm. Find the value of DC

a)

2cm

b)

5cm

c)

10cm

24.

ABC is an equilateral triangle of side 2a. Find each of its altitudes.

a)

√3a unit.

b)

√5a unit.

c)

a unit.

d)

none

25.

Find PR

a)

25CM

b)

10CM

c)

5CM

d)

NONE

Triangles 10TH CLASS

Total questions: 25

Worksheet time: 11mins

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