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Worksheets

Transformations

Total questions: 123

Worksheet time: 4hrs 26mins

Name
Class
Date
1.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
2.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
3.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
4.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
5.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
6.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
7.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
8.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
9.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
10.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
11.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
12.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
13.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
14.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
15.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
16.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
17.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
18.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
19.
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)
20.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
21.
(x, y) -------> (x, -y) is a reflection over the x axis.       
a)
True
b)
False
22.
(x,y) -------> (-x, -y) is a reflection over the y = x axis.
a)
True 
b)
False
23.
a)
True
b)
False
24.
a)
True
b)
False
25.
(x, y) -------> (-x, -y) is a rotation of 180 degrees.  
a)
True 
b)
False
26.
(x, y) -------> (x - 3, y) is a translation of 3 units to the left.   
a)
True
b)
False
27.
(x, y) -------> (x, y - 2) is a translation of 2 units up.  
a)
True
b)
False
28.
(x, y) -------> (-y, -x) is a rotation of 90 degrees counterclockwise.  
a)
True 
b)
False
29.
A dilation with a scale factor of 2 is a reduction. 
a)
True
b)
False
30.
A dilation with a scale factor of 1/3 is a reduction. 
a)
True 
b)
False
31.
Which transformation changes the orientation of the shape?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
32.
Which transformation changes the orientation of the shape?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
33.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
34.
C(-6, 2) and B(-1, -1)
Reflect over the line y = x
a)
C' (-6, 2), B' (-1, -1)
b)
C' (6, 2), B' (1, -1)
c)
C' (2, -6), B' (-1, -1)
d)
C' (-6, -2), B' (-1, -1)
35.
C(-6, 2) and B(-1, -1)
Rotate 90 degrees counterclockwise.
a)
C' (-6, 2), B' (-1, -1)
b)
C' (6, 2), B' (1, -1)
c)
C' (2, -6), B' (-1, -1)
d)
C' (-2, -6), B' (1, -1)
36.
A(-2, 2) and B(3, 2)
Rotate 180 degrees 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (-3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
37.
A(-2, 2) and B(3, 2) 
Dilate k = 2 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-4, 4), B' (6, 4)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
38.
A(-2, 2) and B(3, 2) 
Dilate k = 1 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-4, 4), B' (6, 4)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
39.
A(-2, 2) and B(3, 2)
Reflect over the x-axis 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
40.
C(-6, 2) and B(-1, -1)
Translate (x, y) -> (x - 1, y - 3)
a)
C' (-6, 2), B' (-1, -1)
b)
C' (-7, -1), B' (-2, -4)
c)
C' (-5, 5), B' (0, 2)
d)
C' (-7, 1), B' (-2, -2)
41.
C(-6, 2) and B(-1, -1)
Translate (x, y) -> (x + 3, y - 1)
a)
C' (-3, 1), B' (2, -2)
b)
C' (3, -1), B' (-2, -4)
c)
C' (-9, 1), B' (-4, -2)
d)
C' (-7, 1), B' (-2, -2)
42.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
43.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
44.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
45.
All angles in similar figures are congruent.  
a)
True
b)
False
46.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
47.
How does reflecting a figure over the y-axis change the ordered pair?
a)
Changes the x-coordinate
b)
Changes the y-coordinate
48.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
49.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
50.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
51.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
52.
If the triangle is transformed following the rule (x,y)⊣(x,-y), what transformation is modeled?
a)
Dilation
b)
Reflection
c)
Translation
d)
Rotation
53.
Name the image of C(6, -4) under a rotation 90 degrees counterclockwise about the origin.
a)
C'(4, 6)
b)
C'(-4, -6)
c)
C'(6, 4)
d)
C'(-6, -4)
54.
Given C(2, 9), under which reflection is C'(-2, 9)?
a)
reflected in the x-axis
b)
reflected in the y-axis
c)
reflected in the line x = 2
d)
reflected in the line y = x
55.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
56.
Find the value of x (to the nearest whole number)
a)
5
b)
7
c)
9
d)
11
57.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
58.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
59.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
60.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
61.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
62.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
63.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
64.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
65.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
66.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
67.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
68.
Reflection or Rotation
a)
Reflection
b)
Rotation
69.
Is this rotation or reflection symmetry?
a)
Rotation
b)
Reflection
c)
Translation
70.
Describe the Transformation
a)
Reflection
b)
Translation
c)
Rotation
71.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
72.
Turning an Object
a)
Reflection
b)
Rotation
c)
Translation
73.
Describe the Translation
a)
Translation
b)
Reflection
c)
Rotation
74.
a)
Reflections
b)
Translations
c)
Reflections and Rotations
d)
Translations and Rotations
75.
Rotation or Reflection
a)
Rotation
b)
Reflection
c)
translation
76.
What Transformation is visible?
a)
Dilation
b)
Translation
c)
Reflection
d)
Rotation
77.
What Transformation is visible?
a)
Translation
b)
Relfection
c)
Dilation
d)
Rotation
78.
What Transformation is visible?
a)
Dilation
b)
Refection
c)
Translation
d)
Rotation
79.
What Transformation is visible?
a)
Rotation
b)
Dilation
c)
Reflection
d)
Translation
80.
What Transformation is visible?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
81.
What Transformation is visible?
a)
Reflection
b)
Translation
c)
Rotation
d)
Dilation
82.
What Transformation is visible?
a)
Dilation
b)
Rotation
c)
Reflection
d)
Translation
83.
What Transformation is visible?
a)
Reflection
b)
Rotation
c)
Dilation
d)
Translation
84.
What Transformation is visible?
a)
Dilation
b)
Translation
c)
Reflection
d)
Rotation
85.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Dilation
d)
Reflection
86.
What Transformation is visible?
a)
Reflection
b)
Translation
c)
Dilation
d)
Rotation
87.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
88.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
89.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
90.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
91.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
92.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

93.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

94.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

95.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

96.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

97.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

98.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
99.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
100.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
101.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
102.
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
103.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
104.
Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?
a)
(3,3)
b)
(-3,3)
c)
(3,-3)
d)
(-3,-3)
105.
Shapes that are identical in size, shape and measure are...
a)
Congruent 
b)
Image 
c)
Angles 
d)
Vertices 
106.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
107.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
108.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
109.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
110.
True or False : When you transform a figure, it is congruent to the original figure.
a)
True
b)
False
111.
Which of the following is an acceptable explanation why transformed figures are congruent to the original figures.
a)
The figures are actually NOT congruent.
b)
It depends on whether you translated, rotated, or reflected.
c)
Side lengths and angles measures stay the same when transformed.
d)
The figures look the same.
112.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
113.
What is the sequence of transformations for the image given? 
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
114.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
115.

Which pair have a line of reflection of x = -2?

a)

A & B

b)

B & C

c)

G & H

d)

E & F

116.

Which pair have a line of reflection of x = -3?

a)

A & B

b)

B & C

c)

G & H

d)

E & F

117.

Which of the following is NOT a reflection?

a)

A & B

b)

B & C

c)

G & H

d)

E & F

118.

Describe the translation from A to D.

a)

(6, -6)

b)

<6, -6>

c)

<-6, 6)

d)

(x - 6, y + 6)

119.

Identify both ways to translate from B to C.

a)

(3, 0)

b)

<3, 0>

c)

<-3, 0>

d)

(x + 3, y)

120.

Which pair have a line of reflection of x-axis?

a)

A & E

b)

B & C

c)

G & H

d)

E & F

121.

This is an example of

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

122.

Which image is an example of a Translation?

a)
b)
c)
d)
123.

Which image is an example of a Dilation?

a)
b)
c)
d)