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Triangles- similarity

Total questions: 12

Worksheet time: 11mins

Name
Class
Date
1.

An airplane moves 7km north, turns vertically up and moves 24km. Find the displacement of the airplane.

a)

25m

b)

26km

c)

35km

d)

None of the above

2.

In figure, two line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then, ∠PBA is equal to

a)

50

b)

100

c)

25

d)

75

3.

Solve for x:

(a)  

4.
a)

equal but not similar

b)

equal and similar

c)

isosceles and similar

d)

isosceles but not similar

e)

isosceles and congruent

5.

In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of SR?

a)

4cm

b)

2cm

c)

8cm

d)

6cm

e)

12cm

6.

In the fig., AB||CD, AO/OC= BO/OD =1/2, and AB= 5cm. DC=?

(a)  

7.

In rt. ∆IJK, if ∠JLI = 90, then

a)

IJ² = IL*IK

b)

JK² = LK*IK

c)

IK² = (IK-LK)*IK + (IK-IL)*IK

d)

All of the above

8.

In the fig., AX, BY, CZ are lines from the vertices of the triangle ABC, to the respective opposite sides, and are concurrent. (BX/XC)*(CY/YA)*(AZ/ZB) =

a)

0

b)

1

c)

(BX/XC)²

d)

AZ/2

9.

If EG = 1/2 EF, ∠DHE = 90, then what is DE² + DF² =?

a)

2(DG² + EG²)

b)

2(DG² + DF²)

c)

2{DG² + (EF²/4)}

d)

Both A and C

10.

P and Q are points o the sides AC and BC respectively of ∆ABC (right-angled at C). The relation between the sides AQ, BP, AB, PQ is

a)

AQ + BP= 2(AB² +PQ²)

b)

AQ² +BP² + BP= √(AB² +PQ²)

c)

AQ*BP= √(AB² +PQ²)

d)

AQ² +BP² = (AB² +PQ²)

11.

In a rt.∆ , a perpendicular p is drawn from the right angle to the hypotenuse, dividing the hypotenuse into 2 parts x,y. If rectangles are formed on the respective segments of ∆, the relation between x,y,p is

a)

√p = x+y

b)

p²=x/y

c)

√p = x/y

d)

p²=xy

12.

In the fig., DE||BC, and AD:DB = 5:4. Find ar(∆DFE):ar(∆CFB)

a)

5:9

b)

25:81

c)

√5:3

d)

all of the above