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Total questions: 114

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

To translate the blue shape to the pink shape, which of the following do we need to do?

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

2.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
3.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

d)

(x-9, y+2)

4.
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
5.
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)
6.
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 2, down 3
7.
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
a)
(-6, -1)
b)
(-13, 6)
c)
(-5, 6)
d)
(-6, 7)
8.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
9.

What is the algebraic representation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) -->

(x - 9, y + 3)

b)

(x, y) -->

(x + 9, y - 3)

c)

(x, y) -->

(x + 3, y - 9)

d)

(x, y) -->

(9x, 3y)

10.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
11.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
12.

Which two triangles are reflections of each other across the x-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

13.

Which two triangles are reflections of each other across the y-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

14.

How would you describe the translation of triangle C to triangle B?

(a)  

15.

Which two quadrilaterals are reflections of each other across the y-axis?

a)

F and G

b)

G and H

c)

H and J

d)

F and J

16.

How are quadrilaterals H and J related?

a)

They are reflections across the y-axis

b)

They are rotations around the origin.

c)

They are translations of each other.

17.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
18.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
19.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
20.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
21.
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)
22.
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)
23.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

24.
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
25.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
26.
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
a)
(5,-5)
b)
(5,5)
c)
(-5,5)
d)
(-5,-5)
27.

A figure is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

a)

(x,y)→(x,y)

b)

(x,y)→(-y,x)

c)

(x,y)→(y, -x)

d)

(x,y)→(-x,-y)

28.

What is a transformation that turns a figure about a fixed point for a given angle?

a)

Tanslation

b)

Reflection

c)

Rotation

d)

Point of Rotation

29.

Rotate the point (-1,-2) around the origin 180 degrees. State the image of the point.

a)

(-1,2)

b)

(1, -2)

c)

(1, 2)

d)

(-2, -1)

30.

Rotate A(-4,4) B(-5,1) C(-3, 1)....90 degrees clockwise

a)

A(4,4) B(-5,-1) C(3, -1)

b)

A(4, -4) B(1, -5) C(3, -1)

c)

A(-4, -4) B(-1, -5) C(-1,-3)

d)

A(4, 4) B(1,5) C(1,3)

31.
a)

G

b)

F

c)

H

d)

J

32.
a)

A

b)

B

c)

C

d)

D

33.
a)

D

b)

A

c)

B

d)

C

34.
a)

C

b)

A

c)

B

d)

D

35.
a)

C

b)

A

c)

B

d)

D

36.
a)

C

b)

A

c)

B

d)

D

37.
a)

C

b)

A

c)

B

d)

D

38.
a)

C

b)

A

c)

B

d)

D

39.
a)

B

b)

A

c)

C

d)

D

40.
a)

C

b)

A

c)

B

d)

D

41.
a)

B

b)

A

c)

C

d)

D

42.
a)

D

b)

A

c)

B

d)

C

43.
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
44.

Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?

a)

R'(–5, 1), S'(–1, 1), and T'(–1, –4)

b)

R'(–5, –1), S'(3, –1), and T'(–1, –4)

c)

R'(–1, –1), S'(3, –1), and T'(3, –6)

d)

R'(–5, –1), S'(–1, –1), and T'(–1, –6)

45.
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)
46.
Identify the transformation from  triangle C to triangle D.
a)
90o Counter clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
47.
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
48.
Identify the transformation from ABC to A'B'C'.
a)

(x,y)(x+8,y+4)\left(x,y\right)\rightarrow\left(x+8,y+4\right)

b)

(x,y)(x+8,y4)\left(x,y\right)\rightarrow\left(x+8,y-4\right)

c)

(x,y)(x+4,y+8)\left(x,y\right)\rightarrow\left(x+4,y+8\right)

d)

(x,y)(x4,y8)\left(x,y\right)\rightarrow\left(x-4,y-8\right)

49.
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
50.
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)
51.

(x,y)(x+8,y9)\left(x,y\right)\rightarrow\left(x+8,y-9\right)

a)

Translation

8 up & 9 left

b)

Translation

8 down & 9 right

c)

Translation

8 left & 9 up

d)

Translation

8 right & 9 down

52.

(x,y)(x8,y9)\left(x,y\right)\rightarrow\left(x-8,y-9\right)

a)

Translation

8 down & 9 left

b)

Translation

8 up & 9 right

c)

Translation

8 right & 9 up

d)

Translation

8 left & 9 down

53.

(x,y)(x+9,y+8)\left(x,y\right)\rightarrow\left(x+9,y+8\right)

a)

Translation

9 right & 8 up

b)

Translation

9 up & 8 right

54.

(x,y)(x9,y+8)\left(x,y\right)\rightarrow\left(x-9,y+8\right)

a)

Translation

9 up & 8 left

b)

Translation

9 down & 8 right

c)

Translation

9 left & 8 up

d)

Translation

9 right & 8 down

55.

(x,y)(x+4,y7)\left(x,y\right)\rightarrow\left(x+4,y-7\right)

a)

Translation

4 left & 7 up

b)

Translation

4 right & 7 down

c)

Translation

7 left & 4 up

d)

Translation

7 right & 4 down

56.

(x,y)(x4,y+7)\left(x,y\right)\rightarrow\left(x-4,y+7\right)

a)

Translation

4 left & 7 up

b)

Translation

4 right & 7 down

c)

Translation

4 up & 7 left

d)

Translation

4 down & 7 right

57.

(x,y)(x7,y4)\left(x,y\right)\rightarrow\left(x-7,y-4\right)

a)

Translation

7 left & 4 down

b)

Translation

7 down & 4 left

58.

(x,y)(x+7,y+4)\left(x,y\right)\rightarrow\left(x+7,y+4\right)

a)

Translation

7 right & 4 up

b)

Translation

7 up & 4 right

59.

(x,y)(x6,y+13)\left(x,y\right)\rightarrow\left(x-6,y+13\right)

a)

Translation

6 left & 13 up

b)

Translation

6 right & 13 down

c)

Translation

13 left & 6 up

d)

Translation

13 right & 6 down

60.

(x,y)(x+6,y13)\left(x,y\right)\rightarrow\left(x+6,y-13\right)

a)

Translation

6 left & 13 up

b)

Translation

6 right & 13 down

c)

Translation

6 up & 13 left

d)

Translation

6 down & 13 right

61.

(x,y)(x13,y+6)\left(x,y\right)\rightarrow\left(x-13,y+6\right)

a)

Translation

13 left & 6 up

b)

Translation

13 right & 6 down

c)

Translation

13 up & 6 left

d)

Translation

13 down & 6 right

62.

(x,y)(x+13,y6)\left(x,y\right)\rightarrow\left(x+13,y-6\right)

a)

Translation

13 up & 6 left

b)

Translation

13 down & 6 right

c)

Translation

13 left & 6 up

d)

Translation

13 right & 6 down

63.

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,y\right)

a)

Reflection

over x-axis

b)

Reflection

over y-axis

c)

Rotation

90 °\degree cw

d)

Rotation

270 °\degree cw

64.

(x,y)(x,y)\left(x,y\right)\rightarrow\left(x,-y\right)

a)

Reflection

over x-axis

b)

Reflection

over y-axis

c)

Rotation

90 °\degree cw

d)

Rotation

270 °\degree cw

65.

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,x\right)

a)

Reflection

over x-axis

b)

Reflection

over y-axis

c)

Rotation

90 °\degree cw

d)

Rotation

270 °\degree cw

66.

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,x\right)

a)

Reflection

over x-axis

b)

Reflection

over y-axis

c)

Rotation

90 °\degree ccw

d)

Rotation

270 °\degree ccw

67.

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,-x\right)

a)

Reflection

over x-axis

b)

Reflection

over y-axis

c)

Rotation

90 °\degree ccw

d)

Rotation

270 °\degree ccw

68.

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,-x\right)

a)

Reflection

over x-axis

b)

Reflection

over y-axis

c)

Rotation

90 °\degree cw

d)

Rotation

270 °\degree cw

69.

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)

a)

Rotation

360 °\degree cw

b)

Rotation

360 °\degree ccw

c)

Rotation

180 °\degree cw

d)

Rotation

180 °\degree ccw

70.

Rotation 90 °\degree cw

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

71.

Reflection over y-axis

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

72.

Reflection over x-axis

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

73.

Rotation 90 °\degree ccw

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

74.

Rotation 180 °\degree ccw

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

75.

Rotation 270 °\degree ccw

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

76.

Rotation 270 °\degree cw

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

77.

Translation 4 units up & 3 units left

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

78.

Rotations Preserve:

a)

Congruence

b)

Orientation of the Figure

c)

Orientation of the Vertices

79.

Reflections Preserve:

a)

Congruence

b)

Orientation of the Figure

c)

Orientation of the Vertices

80.

Translations Preserve:

a)

Congruence

b)

Orientation of the Figure

c)

Orientation of the Vertices

81.

A(10,2) A'(2,-10)

B(4,8) B'(-4,-4)

C(12,12) C'(4,0)

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

82.

A(3,6) A'(6,-3)

B(4,8) B'(8,-4)

C(2,7) C'(7,-2)

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

83.

A(0,4) A'(0,4)

B(8,0) B'(-8,0)

C(0,-1) C'(0,-1)

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

84.

A(-6,4) A'(-4,-6)

B(3,2) B'(-2,3)

C(0,8) C'(-8,0)

(x,y)\left(x,y\right)\rightarrow (a)  

NO SPACES!

85.

A __ is an operation that maps an original geometric figure onto a new figure.

a)

transformation

b)

equation

c)

square root

d)

pythagorean theorem

86.

In a transformation, the original geometric figure is called the (a)  

87.

A (a)   is a transformation that is a mirrored or flipped version of the preimage

88.

A (a)   is a transformation where the pre-image moves or slides

89.

A (a)   is a transformation where the figure is turned around a point

90.

What transformation is this an example of???

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

91.

In a transformation, the original geometric figure is called the preimage and the new figure is called the (a)  

92.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

93.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

94.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

95.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

96.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

97.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

98.

What transformation is this an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

99.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

100.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

101.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

102.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

103.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

104.

Describe the Transformation

a)

Translation

b)

Reflection

c)

Rotation

105.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

106.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

107.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

108.
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
109.
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
110.
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
111.
Choose the correct scale factor:
a)
2
b)

1/5

c)
1/3
d)
1/2
112.
Identify the transformation from  triangle C to triangle D.
a)
90o Counter clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
113.
What is a possible sequence of transformations for the given figures? 
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 transformation shown?
a)
Rotation 90 degrees clockwise
b)
Reflection over y= -1
c)
Reflection over x-axis
d)
Reflection over x= -1