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Dilation and Similarity Transformations

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

1.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

2.

2.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

3.

3.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

4.

4.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

5.

5.) What is the scale factor of the dilation from A to B ?

a)

1/4

b)

1/2

c)

1

d)

2

6.

6.) What is the scale factor of the dilation from A to B ?

a)

8

b)

2

c)

1/6

d)

1/3

7.

7.) What is the scale factor of the dilation from A to B ?

a)

2

b)

1

c)

1/2

d)

1/3

8.

What does congruent mean?

a)

corresponding sides and angles are congruent

b)

corresponding sides are proportional and corresponding angles are congruent

c)

sames shape

d)

neither sides or angles are congruent

9.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90o clockwise, reflection over the x-axis

d)

Rotation 180o clockwise, reflection over the y-axis

10.
Which of the statements is true about the graphed triangles?
a)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
b)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
c)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
d)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
11.
Which of the following are Dilations?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
12.

Which transformations keep figures congruent?

a)

translation, reflection, and dilation

b)

reflection, rotation, and dilation

c)

dilation, translation, reflection, and rotation

d)

translation, reflection, and rotation

13.

Which scale factor shrinks a figure?

a)

k = 0

b)

k =2

c)

k= 1/3

d)

k = 1

14.

What is the rule for the dilation pictured below?

a)

(x, y) → (½x, ½y)

b)

(x, y) → (x + 2, y + 2)

c)

(x, y) → (2x, 2y)

d)

(x, y) → (2x, 3y)

15.

Which of the following are similarity transformations? Choose all that apply.

a)

Translation

b)

Dilation

c)

Rotation

d)

Stretch

e)

Reflection

16.
Which of the following is the definition of a DILATION?
a)
 A transformation that can change the size of a polygon but leaves the shape unchanged.
b)
 A change in the shape of a polygon but leaves the size unchanged.
c)
A transformation that changess the size of a shape.
17.
Every dilation has a fixed point called the_________
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation 
18.
True or false, when a figure is dilated, the corresponding sides are proportional?
a)
True
b)
False
19.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
20.
True or false, when a figure is dilated, the corresponding angles are congruent?
a)
True
b)
False
21.

Which series of transformations was used? Select ALL that apply.

a)

Rotation

b)

Reflection

c)

Dilation

d)

translation

22.

Which transformations can be used to confirm that the figures are similar?Select all that apply.

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

23.

Which sequence of transformations can be used to prove that these shapes are similar? Select all that apply.

a)

reflection

b)

rotation

c)

translation

d)

dilation

24.

Which sequence of transformations can map ABCD to EFGH? Select all that apply.

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

25.

Which transformations can be used to map ABCD to JKLM?

a)

reflection

b)

rotation

c)

translation

d)

dilation

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