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Intro To Similarity

Total questions: 15

Worksheet time: 36mins

Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
2.
Sides in similar figures must be proportional.  
a)
True
b)
False 
3.
⊿ABC ~ ⊿LMN, AB = 12, BC = 10, LN = 9, and LM = 6. What is the scale factor of ⊿ABC to ⊿LMN?
a)
2/1
b)
6/5
c)
4/3
d)
1/2
4.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
5.
Complete the similarity statement.
ABC ~ ___
a)
ZYX
b)
XZY
c)
YZX
d)
XYZ
6.
AB = 4.  After a dilation, A'B' = 10.  What is the scale factor for the dilation?
a)
5/2
b)
10
c)
4
d)
2/5
7.

In similar figures, corresponding angles are ___________________ and corresponding sides are _________________________.


*Explain your answer on your answer sheet*

a)

proportional, proportional

b)

congruent, congruent

c)

proportional, congruent

d)

congruent, proportional

8.

Given: ΔMNO∼ΔPQR\Delta MNO\sim\Delta PQR 

Select the correct proportion that represents the corresponding sides.

a)

 NOQR=MNPR=MOPQ\frac{NO}{QR}=\frac{MN}{PR}=\frac{MO}{PQ}  

b)

 MOQR=MNPQ=NOPR\frac{MO}{QR}=\frac{MN}{PQ}=\frac{NO}{PR}  

c)

 MNPQ=NOQR=MOPR\frac{MN}{PQ}=\frac{NO}{QR}=\frac{MO}{PR}  

d)

 MNPQ=MOQR=NOPR\frac{MN}{PQ}=\frac{MO}{QR}=\frac{NO}{PR}  

9.

Given: ΔCDE∼ΔFGE\Delta CDE\sim\Delta FGE  

What is the value of x?

a)

16.9

b)

37

c)

43.2

d)

42

10.

Given: ΔJKL∼ΔQRS\Delta JKL\sim\Delta QRS 

Find x.

a)

 −13-\frac{1}{3}  

b)

 −4-4  

c)

 46\frac{4}{6}  

d)

2

11.

Given: ΔTLY∼ΔCHK\Delta TLY\sim\Delta CHK 

Find x.

a)

 1111  

b)

 99  

c)

 7590\frac{75}{90}  

d)

 615\frac{6}{15}  

12.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
13.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
14.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
15.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH