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Unit 2 Quiz 1: Lessons 1-7

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

True or False:
A scale factor is the ratio that compares the dimensions of a figure to the dimensions of its image after a dilation.

a)

TRUE

b)

FALSE

2.

True or False: A dilation is a Rigid Transformation that preserves the size of a figure.

a)

TRUE

b)

FALSE

3.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
4.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
5.
Does the image show a dilation?
a)
Yes
b)
No
6.
Enlargement or reduction?  Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
7.
What is the definition of dilations ,in mathematical terms?
a)
to make larger or smaller
b)
to make Congruent figures
c)
all of the above
d)
to make smaller
8.

In this dilation, the blue figure is the image and the black figure is the pre-image. This means that an ______________ occurred.

a)

enlargement

b)

reduction

c)

spin

d)

flip

9.

If a triangle with sides 3 cm, 4 cm, and 5 cm is scaled by a factor of 2, what is the length of the longest side of the new triangle?

a)

5 cm

b)

10 cm

c)

8 cm

d)

6 cm

10.

If the scale factor is one, the new figure will be

a)

smaller

b)

larger

c)

a scale

d)

same size

11.

If you were asked to draw a scaled copy with a scale factor of 4, the copy will be...

a)

Larger

b)

Smaller

c)

The Same Size

12.

What is the algebraic representation for this dilation?

a)

( x , y ) --> ( 1/2 x , 1/2 y )

b)

( x , y ) --> ( 2 x , 2 y )

c)

( x , y ) --> ( 1/2 x , 2 y )

d)

( x , y ) --> ( 2 x , 1/2 y )

13.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
14.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
15.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
16.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
17.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
18.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
19.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
20.
a)

D

b)

A

c)

B

d)

C

21.
a)

F

b)

G

c)

H

d)

J

22.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

515=WY13\frac{5}{15}=\frac{WY}{13}  

b)

WY4=1512\frac{WY}{4}=\frac{15}{12}  

c)

154=13WY\frac{15}{4}=\frac{13}{WY}  

d)

12WY=45\frac{12}{WY}=\frac{4}{5}  

23.

Figures with the same shape, but not necessarily the same size are called

a)

Similar

b)

Congruent

24.

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

a)
b)
c)
d)
25.
The figures are similar.  Find x:
a)
6
b)
8
c)
12.5
d)
24

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