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SIMILER TRIANGLES

Total questions: 27

Worksheet time: 19mins

Name
Class
Date
1.

The polygons in which all sides and angles are equal then they are called

a)

Similar

b)

Congruent

c)

Regular polygons

d)

None of the above

2.

Regular polygons with same number of sides are always

a)

Similar

b)

Congruent

c)

Not similar

d)

Not congruent

3.

All equilateral triangles are similar because

a)

They are congruent

b)

They are equal

c)

They are regular polygons

d)

None

4.

All isosceles triangles are

a)

Similar

b)

Congruent

c)

Not congruent

d)

Not similar

5.

Two polygons with the same number of sides are.................. If their corresponding angles are equal and corresponding sides are equal

a)

Similar

b)

Equal

c)

Congruent

d)

None

6.

If a line drawn parallel to one side of a triangle,then it divides other two sides in

a)

One point

b)

Two points

c)

In same ratio

d)

None

7.

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

a)

Perpendicular

b)

Equal

c)

Intersecting

d)

Parallel

8.

The relation similarity is ........relation

a)

Equal

b)

Not equal

c)

Congruent

d)

Equavalent

9.

In ∆ABC if DE ll BC then ∆ADE and ∆ABC are

a)

Congruent to each other

b)

Not congruent to each other

c)

Similar to each other

d)

Not similar to each other

10.

If ∆ABC~∆DEF,LA=50⁰,LF=70⁰, then LB=

a)

70⁰

b)

60⁰

c)

80⁰

d)

90⁰

11.

If ∆ABC ~∆DEF,a scale factor of 2/3 and DE=9cm then AB=

a)

9 cm

b)

10 cm

c)

13 cm

d)

13.5 cm

12.

If in ∆XYZ,PQ ll YZ and XP:XY=3:5 and XQ=6cm then QZ=

a)

5 cm

b)

6 cm

c)

4 cm

d)

5.5cm

13.

In ∆PQR if XY ll QR then PX:PQ=

a)

PY:PR

b)

QY:QR

c)

OQ:PQ

d)

PQ:PR

14.

If in ∆ABC, if AD:DB=AE:EC,then

a)

AB ||BC

b)

DE ||BC

c)

AB || DE

d)

None

15.

A person 1.65m tall casts 1.8m shadow,at the same time,a lamp post casts a shadow of 5.4 then height of lamp post is

a)

4.95m

b)

4.85 m

c)

4.75m

d)

4.65m

16.

In a quadrilateral ABCD if the diagonals are intersecting at 'O' such that AO/BO=CO/DO,then ABCD is a

a)

Rhombus

b)

Square

c)

Trapezium

d)

Rectangle

17.

If the ratio of the corresponding sides of two similar triangles is 3:2 then the ratio of their perimeters is

a)

1:2

b)

2:3

c)

1:3

d)

3:2

18.

In ∆ABC,if DE||BC and AD:DB =2:3 then Ar[∆AFE]:Ar[∆ABC]=

a)

4:9

b)

4:5

c)

4:25

d)

4:16

19.

Pythagoras theorem was earlier stated by the Indian mathematician is

a)

Pythagoras

b)

Ramanujan

c)

Aryabhatta

d)

Boudhayan

20.

If the corresponding sides of two similar triangles are equal,and the area of one triangle is 64 cm2, then the area of other triangle is

a)

81cm2

b)

64cm2

c)

36cm2

d)

49cm2

21.

In a right triangle ABC LB= 90⁰ and BD is perpendicular to AC then ∆ADB~

a)

∆ABC or ∆BDC

b)

∆ADB

c)

∆DAB

d)

None

22.

In ∆ABC,LB=90⁰ then AB²+BC² , this is=AC²

a)

Pythagoras theorem

b)

Basic proportionality theorem

c)

AAA similarity

d)

SAS similarity

23.

1. In ΔABC, D and E are points on sides AB and AC respectively such that DE|| BC and AD : DB = 3 : 1. If EA = 3.3cm, then AC=_______

a)

1.1 cm

b)

4cm

c)

4.4cm

d)

5.5cm

24.

ΔABC and ΔPQR are similar triangles such that ∠A = 32° and ∠R = 65°, then ∠B is :

a)

83°

b)

32°

c)

65°

d)

97°

25.

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

a)

True

b)

False

26.
Solve for x.
a)
x = 2
b)
x = -1
c)
x = 1
d)
x = 5
27.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3