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Test Review Topic 12 Dilations and scale factor (2023)

Total questions: 59

Worksheet time: 3hrs 13mins

Name
Class
Date
1.
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)
2.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
3.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
4.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
5.

What is the scale factor

6.
A dilation can produce a smaller figure or a(n)______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
7.
 A dilation can produce a larger figure or a(n)______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
8.
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 
9.

If Triangle ABC ~ Triangle DEF, what scale factor maps ABC onto DEF?

10.

The triangles are similar by...

a)

SAS

b)

AA

c)

Can not be proven similar

d)

SSS

11.

The triangles are similar by...

a)

SAS

b)

AA

c)

Can not be proven similar

d)

SSS

12.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
13.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar.
14.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
15.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

Can not be proven similar

16.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
17.
Determine whether the triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
not similar
18.

If the triangles are similar, find y

a)

5

b)

3.75

c)

4

d)

3.5

19.

Determine the scale factor as a fraction for each of the similar figures.

a)

1/2

b)

1/3

c)

1/4

d)

1/5

e)

1/6

20.

Given that the figures are similar, what is the length of the missing side?

a)

4

b)

5

c)

6

d)

7

e)

9

21.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
22.
A dilation with a scale factor GREATER THAN 1 gets ________. 
a)
Smaller
b)
Bigger 
c)
Stays the same 
23.
A dilation with a scale factor LESS THAN 1 gets ________. 
a)
Smaller
b)
Bigger
c)
Stays the same 
24.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
25.
Find missing side
a)
5
b)
7
c)
9
d)
11
26.
a)
18 in
b)
24 in
c)
48 in
d)
20 in
27.
What is the scale factor from ΔDEF to ΔABC?
28.

What is the scale factor from ABCD to MPON?

Write as a fraction

29.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
30.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
31.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
32.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
33.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
34.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
35.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
36.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
37.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
38.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
39.
Find K' if the figure is reflected across the x-axis
a)

(4, 1)

b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
40.
What is the relationship of the angles?
a)
Corresponding angles
b)
Same Side Interior
c)
Alternate Interior
d)
Alternate Exterior
41.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
42.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

43.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

44.

Are the triangles similar? If so, why?

a)

Yes. SSS~

b)

No

c)

Yes. AA~

d)

Yes. ASA~

45.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
46.
What is the value of x?
a)
64
b)
46
c)
127
d)
38
47.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
48.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
49.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
50.

What is the scale factor? Pre-image is on the left.

a)

1

b)

3

c)

1/3

d)

8

51.

What is the scale factor? Pre-image on the left.

a)

1

b)

2

c)

1/2

d)

-2

52.

Solve:

a)

4

b)

6

c)

-2

d)

5

53.
Find missing side
a)
5
b)
7
c)
9
d)
11
54.
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.
55.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.


Which algebraic representation shows this dilation?

a)

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

b)

(x, y) --> (0.5x, 0.5y)

c)

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

d)

(x, y) --> (3x, 2y)

56.

A dilation centered at the origin with a scale factor of 13\frac{1}{3} maps triangle ABC, with vertices at A (3, 6), B (-9, -2), and C (-6, 5) to its image. The coordinates of the image are A' ​ (a)   , B' ​ (b)   , and C' ​ (c)   .

Choose from the below words

(1,2)\left(1,2\right)  

(−3,−23)\left(-3,-\frac{2}{3}\right)  

(−2,53)\left(-2,\frac{5}{3}\right)  

(19,118)\left(\frac{1}{9},\frac{1}{18}\right)  

(−6,−1)\left(-6,-1\right)  

(2,−53)\left(2,-\frac{5}{3}\right)  

57.

True/False: A negative scale factor is always a reduction.

a)

True

b)

False

58.
Solve for x.
a)
100
b)
1
c)
0.1
d)
10
59.

Which of the following statements is true about the scale factor (k) for this dilation?

a)

k>1k>1

b)

k=1k=1

c)

0<k<10<k<1

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