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8-2 Similarity Quiz

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Find the value of x:  4x=1227\frac{4}{x}=\frac{12}{27}  

a)

81

b)

9

c)

2.5

d)

96

2.

Find the value of x: x−22=x+64\frac{x-2}{2}=\frac{x+6}{4}  

a)

4

b)

.667

c)

1

d)

10

3.

One out of four people earn less than $15,000 per year. How many people in a city of 40,000 earn less than $15,000 per year?

a)

10,000

b)

160,000

c)

1,000

d)

1,600

4.

If  ΔABC ∼ ΔDEF\Delta ABC\ \sim\ \Delta DEF ,  ∠C ≅∠?\angle C\ \cong\angle?   

a)

A

b)

D

c)

F

d)

E

5.

If  ΔABC ∼ ΔDEF\Delta ABC\ \sim\ \Delta DEF ,  BC : ?BC\ :\ ?   

a)

EF

b)

ED

c)

FD

d)

AC

6.

If  ΔABC ∼ ΔDEF\Delta ABC\ \sim\ \Delta DEF , name the angle included between DF and FE

a)

D

b)

F

c)

E

7.

If  ΔABC ∼ ΔDEF\Delta ABC\ \sim\ \Delta DEF , name the side included between  ∠B and ∠C\angle B\ and\ \angle C  

a)

AB

b)

AC

c)

BC

8.

If ABCD ∼ RSTUABCD\ \sim\ RSTU  , what is the common ratio?

a)

 21\frac{2}{1}  

b)

 12\frac{1}{2}  

c)

 34\frac{3}{4}  

d)

 74\frac{7}{4}  

9.

If ABCD ∼ RSTUABCD\ \sim\ RSTU  , find the value of x.

a)

14

b)

3.5

c)

1.5

d)

6

10.

If ABCD ∼ RSTUABCD\ \sim\ RSTU  , find the value of y.

a)

3.8

b)

 −12-\frac{1}{2}  

c)

3

d)

-3

11.

If ABCD ∼ RSTUABCD\ \sim\ RSTU  , what is the ratio of the perimeters?

a)

 12\frac{1}{2}  

b)

 21\frac{2}{1}   

c)

 74\frac{7}{4}  

d)

 34\frac{3}{4}  

12.

Find the value of x: 5x=1030\frac{5}{x}=\frac{10}{30}  

a)

 53\frac{5}{3}  

b)

140

c)

3

d)

15

13.

Find the value of x: x−23=x+65\frac{x-2}{3}=\frac{x+6}{5}  

a)

4

b)

1

c)

14

d)

10

14.

A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

a)

9 ft

b)

4 ft

c)

8 ft

d)

3 ft

15.

Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale factor of 4 cm : 21 km.

a)

63 km

b)

2.3 km

c)

8.25 km

d)

248 km