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M8: U2 Q1 Practice

Total questions: 72

Worksheet time: 2hrs 26mins

Name
Class
Date
1.

Dilations are a transformation that make a figure bigger or smaller.

a)

True

b)

False

2.

If the scale factor is exactly 1, the image will be...

a)

Bigger

b)

Smaller

c)

Congruent

3.

If the scale factor is less than 1, the image will be...

a)

Bigger

b)

Smaller

c)

Congruent

4.

If the scale factor is greater than 1, the image will be...

a)

Bigger

b)

Smaller

c)

Congruent

5.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
6.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
7.

What is the scale factor from the big shape to the small shape?

a)
1/2
b)
7/3
c)
2
d)
10/3
8.

Segment AB measures 7 cm. Point O is the center of dilation. How long is the image of AB after a dilation with a scale factor of 5?

a)

30

b)

35

c)

40

d)

12

9.

Segment AB measures 7 cm. Point O is the center of dilation. How long is the image of AB after a dilation with a scale factor of 12\frac{1}{2} ?

a)

14

b)

7

c)

3

d)

3.5

10.

Segment AB measures 4 cm. Point O is the center of dilation. How long is the image of AB after a dilation with a scale factor of 12\frac{1}{2} ?

a)

12

b)

4

c)

8

d)

2

11.

Segment AB measures 4 cm. Point O is the center of dilation. How long is the image of AB after a dilation with a scale factor of 44 ?

a)

16

b)

1/4

c)

8

d)

1

12.

Identify the scale factor that was applied to the dilation:

T(3,4)      T'(6,8)

a)

1

b)

1/2

c)

3

d)

2

13.

Identify the scale factor that was applied to the dilation:

B(12,4)      B'(6,2)

a)

1

b)

1/2

c)

3

d)

2

14.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
15.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
16.
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.
17.

An enlargement means we are getting...

a)

Bigger

b)

Smaller

18.

A reduction means we are getting...

a)

Bigger

b)

Smaller

19.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

20.
What is the scale factor from the large triangle to the small triangle?
a)
1/2
b)
2/3
c)
3/4
d)
2
21.
What is the scale factor from the smaller quadrilateral to the larger?
a)
scale factor = 4
b)
scale factor = 10
c)
scale factor = 3
d)
scale factor = 2
22.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

23.
Line CB corresponds with what line? 
a)
SR
b)
PQ
c)
SP
d)
RQ
24.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
25.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
26.

What is the scale factor?

a)

1

b)

2

c)

1/2

d)

-2

27.
_________ ________ is the number you multiply by the sides to create a similar figure.
a)
Scale Factor
b)
Corresponding Angle
c)
Pi
d)
Mid Point
28.

The point (8, 12) was dilated to become point (2, 3). What is the scale factor?

a)

½

b)

¼

c)

4

d)

2

29.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
30.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
31.

Definition: The figure before a transformation has occurred. 

a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
32.

D is a dialation of C with P being the center of Dilation. What is the scale Factor?

a)

3

b)

1

c)

2

d)

6

33.

C is a dialation of D with P being the center of Dilation. What is the scale Factor?

a)

3

b)

1/3

c)

1/2

d)

6

34.

Triangle ABC is a figure on the grid. The Center of dilation is P. If the scale factor is 1/3, will the image get smaller of larger?

a)

Smaller

b)

Larger

35.

Triangle ABC is a figure on the grid. The Center of dilation is P. If the scale factor is 3, will the image get smaller of larger?

a)

Smaller

b)

Larger

36.

Line Segment AB is 10 units long. Line Segment A'B' is a scaled copy and is 5 units long. What is the scale factor going from Ab to A'B'?

a)

1/2

b)

2

c)

5

d)

1\3

37.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
38.

What is the scale factor?

A(2, 5) -> A'(12, 30)

(a)  

39.

What is the scale factor?

B(2, 12) -> B'(1, 6)

(a)  

40.

What is the scale factor?

B(4, 20) -> B'(1, 5)

(a)  

41.

What is the scale factor?

H(9, 1) -> H'(18, 2)

(a)  

42.

What is the scale factor?

H(9, 1) -> H'(3, 1/3)

(a)  

43.

What is the scale factor?

H(9, 1) -> H'(54, 6)

(a)  

44.

What is the image of point A(-4, 8) after a dilation by a scale factor of 1/4 about the origin?

a)

(-1, 4)

b)

(-1, 2)

c)

(1, 2)

d)

(1, -2)

45.

What is the image of point A(20, -8) after a dilation by a scale factor of 1/4 about the origin?

a)

(5, -2)

b)

(5, 2)

c)

(-5, 2)

d)

(4, 4)

46.

What is the image of point A(10, 6) after a dilation by a scale factor of 1/2 about the origin?

a)

(5, -3)

b)

(5, 3)

c)

(-5, 3)

d)

(5, 2)

47.

What is the image of point A(10, 6) after a dilation by a scale factor of 2 about the origin?

a)

(20, 6)

b)

(20, 3)

c)

(20, 12)

d)

(20, -3)

48.

Dilations Produce Similar Figures

a)
True
b)
False
49.

Dilations Produce Congruent Figures

a)
True
b)
False
50.

After a dilation, angles are also multiplied by the scale factor.

a)

True

b)

False

51.

If an angle was 90 degrees, what is it after a dilation with a scale factor of 2?

a)

90

b)

180

c)

45

d)

360

52.

If an angle was 100 degrees, what is it after a dilation with a scale factor of 1/2?

a)

50

b)

200

c)

90

d)

100

53.

If an angle was 20 degrees, what is it after a dilation with a scale factor of 4?

a)

20

b)

80

c)

100

d)

10

54.



(a)  

55.



(a)  

56.



(a)  

57.



(a)  

58.



(a)  

59.



(a)  

60.



(a)  

61.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
62.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
63.
Does the image show a dilation?
a)
Yes
b)
No
64.
Does the image show a Dilation?
a)
Yes
b)
No
65.
Does the image show a Dilation?
a)
Yes
b)
No
66.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
67.

What scale factor was used for the dilation shown?

a)

1/2

b)

1

c)

2

d)

3

68.

What is the scale factor of the dilation shown?

a)

1/3

b)

1/2

c)

3

d)

2

69.

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

70.

What would the point F' be is the Triangle FGH was dilated with a scale factor of 2?

a)

F'(12, 4)

b)

F'(6, 4)

c)

F'(8, 4)

d)

F'(3, 1)

71.

Figure 2 is a dilation of figure 1. What scale factor was used to create object 2?

(a)  

72.

Dilate ΔGHJ\Delta GHJ by 3 with a point at the origin.

What are the coordinates of G'?

a)

(3, 1)\left(3,\ 1\right)

b)

(3, 9)\left(3,\ 9\right)

c)

(9, 3)\left(9,\ 3\right)

d)

(6,2)(6,2)

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