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Worksheets

Transformations

Total questions: 127

Worksheet time: 6hrs 2mins

Name
Class
Date
1.

Describe the transformation:

(x, y) -> (x+3, y)

a)

Translation 3 units to the left

b)

Translation 3 units up

c)

Translation 3 units to the right

d)

Translation 3 units down

2.

Describe the transformation:

(x, y) -> (x, y-2)

a)

Translation 2 units to the left

b)

Translation 2 units up

c)

Translation 2 units to the right

d)

Translation 2 units down

3.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

4.

Describe the transformation:

(x, y) -> (x-1, y+1)

a)

Translation 1 unit to the left & 1 unit down

b)

Translation 1 unit to the left & 1 unit up

c)

Translation 1 unit to the right & 1 unit down

d)

Translation 1 unit to the right & 1 unit up

5.

Describe the transformation:

(x, y) -> (x, y-10)

a)

Translation 10 units to the left

b)

Translation 10 units up

c)

Translation 10 units to the right

d)

Translation 10 units down

6.

Describe the transformation:

(x, y) -> (x, -y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

7.

Describe the transformation:

(x, y) -> (-x, y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

8.

Describe the transformation:

(x, y) -> (-y, x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

9.

Describe the transformation:

(x, y) -> (y, -x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

10.

A mirror image of a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

11.

to slide or move a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

12.

Turning around a point

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

13.

What does it mean if two figures are congruent?

a)

The figures are the same shape, but different size

b)

The figures are different size and shape

c)

The figures are the same size and shape

d)

The figures are the same size, but different shape

14.

Are the figures congruent?

(What type of transformation is shown?)

a)

Congruent (rotation)

b)

Congruent (reflection)

c)

NOT Congruent (rotation)

d)

NOT Congruent (reflection)

15.

Are the figures congruent?

(What type of transformation is shown?)

a)

Congruent (rotation)

b)

Congruent (reflection)

c)

NOT Congruent (rotation)

d)

NOT Congruent (reflection)

16.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

17.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

18.

What quadrant is the image now in?

a)

I

b)

II

c)

III

d)

IV

19.

After a transformation, your new vertices should have what symbol on them?

a)

$

b)

#

c)

'

d)

&

20.

Reflections over the x-axis change the __________.

a)

y-coordinate

b)

x-coordinate

21.
When quadrilateral PRST is translated to create quadrilateral P'R'S'T', which statement is true?
a)
The side lengths of quadrilateral P'R'S'T' are twice the side lengths of quadrilateral PRST
b)
The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST
c)
The side lengths of quadrilateral P'R'S'T' are 9 units longer than side lengths of quadrilateral PRST
d)
The angle measures of quadrilateral P'R'S'T' are greater than the angle measures of quadrilateral PRST
22.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
23.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
24.

What kind of transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

25.

What kind of transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

26.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

27.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

28.

A reflection is

a)

flipping a figure

b)

turning a figure

c)

enlarging a figure

d)

sliding a figure

29.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
30.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
31.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
32.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

33.

When you rotate 90 degrees clockwise ( x , y ) becomes ?

a)

( -x , -y )

b)

( y , -x )

c)

( y , x )

d)

( -y , -x )

34.

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

35.
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)
36.

If the rectangle were rotated 90º clockwise about the origin, what would be the coordinates of Z'?

a)

(2, -2)

b)

(-2, -3)

c)

(2, 2)

d)

(-3, -2)

37.

If the triangle is reflected across the y-axis, the coordinates of the new triangle will be (5, 0), (2, 3), and ___.

a)

(0, 5)

b)

(4, 3)

c)

(3, 5)

d)

(2, 3)

38.

If the rectangle were rotated 90º counterclockwise about the origin, what would be the location of K'?

a)

(1, -6)

b)

(-1, 6)

c)

(6, -1)

d)

(-6, -1)

39.

If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

40.

Which transformation(s), no matter which one you do, will the resulting image be congruent? (select all that apply)

a)

translation

b)

reflection

c)

rotation

d)

dilation

41.
The result of a transformation.
a)
Pre-image
b)
Image
42.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
43.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> ( x-5 , y + 5)
c)
(x, y)  --> ( x-2 , y + 5)
d)
(x, y)  --> ( x+5 , y)
44.

What type of transformation is shown?

a)

Rotation

b)

Translation

c)

Reflection

45.

What type of transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

46.

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

47.

What is the algebraic representation for the transformation shown?

a)

(x, y) ---> (x - 8, y + 3)

b)

(x, y) ---> (x - 4, y + 9)

c)

(x, y) ---> (x + 8, y - 3)

d)

(x, y) ---> (x + 4, y - 9)

48.

What transformation is the following rule for?

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

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Rotate 90 degrees clockwise

d)

Rotate 270 degrees clockwise

49.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
50.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
51.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
52.

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

53.
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)
54.

If the rectangle were rotated 90º clockwise about the origin, what would be the coordinates of Z'?

a)

(2, -2)

b)

(-2, -3)

c)

(2, 2)

d)

(-3, -2)

55.

If the rectangle were rotated 90º counterclockwise about the origin, what would be the location of K'?

a)

(1, -6)

b)

(-1, 6)

c)

(6, -1)

d)

(-6, -1)

56.

Which transformation(s), no matter which one you do, will the resulting image be congruent? (select all that apply)

a)

translation

b)

reflection

c)

rotation

d)

dilation

57.
The result of a transformation.
a)
Pre-image
b)
Image
58.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
59.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> ( x-5 , y + 5)
c)
(x, y)  --> ( x-2 , y + 5)
d)
(x, y)  --> ( x+5 , y)
60.

What type of transformation is shown?

a)

Rotation

b)

Translation

c)

Reflection

61.

What type of transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

62.

What is the algebraic representation for the transformation shown?

a)

(x, y) ---> (x - 8, y + 3)

b)

(x, y) ---> (x - 4, y + 9)

c)

(x, y) ---> (x + 8, y - 3)

d)

(x, y) ---> (x + 4, y - 9)

63.

Which describes the transformation shown?

a)

translation left and up

b)

translation right and down

c)

rotation 180°180\degree  

d)

reflection over the x-axis

64.

Find J' if the is reflected over the x-axis.

a)

(-7, 7)

b)

(7, -7)

c)

(-7, -7)

d)

(7, 7)

65.

Find K' if the figure is translated 6 units down and 3 units left.

a)

(-8, -8)

b)

(-2, -8)

c)

(-8, 4)

d)

(-5, -8)

66.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
67.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
68.

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

69.

If the triangle is reflected across the y-axis, the coordinates of the new triangle will be (5, 0), (2, 3), and ___.

a)

(0, 5)

b)

(4, 3)

c)

(3, 5)

d)

(2, 3)

70.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
71.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
72.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
73.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
74.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
75.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

76.

When you rotate 90 degrees clockwise ( x , y ) becomes ?

a)

( -x , -y )

b)

( y , -x )

c)

( y , x )

d)

( -y , -x )

77.

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

78.
Triangle A is rotated 270° counterclockwise 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
79.

Is the reflection shown a reflection over the x or y axis?

a)

X axis

b)

y axis

80.
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)
81.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
82.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
83.
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
84.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
85.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
86.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
87.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

88.

When you rotate 90 degrees clockwise ( x , y ) becomes ?

a)

( -x , -y )

b)

( y , -x )

c)

( y , x )

d)

( -y , -x )

89.

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

90.
Triangle A is rotated 270° counterclockwise 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
91.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> ( x-5 , y + 5)
c)
(x, y)  --> ( x-2 , y + 5)
d)
(x, y)  --> ( x+5 , y)
92.
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)
93.
How do you write the algebraic notation when the scale factor is 1/2?
a)
(x, y) goes to (2x, 2y)
b)
(x, y) goes to (1/2x, 1/2y)
c)
(x, y) goes to (-2x, -2y)
d)
(x, y) goes to (2x, 1/2y)
94.
Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________
a)
( -x, -y)
b)
( -y, x)
c)
( -x, y)
d)
(y, -x)
95.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
96.
A dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?
a)
2.5
b)
1/2.5
c)
This is not a dilation
d)
The scale factor cannot be determined
97.
Does the image show a Dilation?
a)
Yes
b)
No
98.
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)
99.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
100.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
101.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
102.

What type of transformation is shown?

a)

Rotation

b)

Translation

c)

Reflection

103.

What type of transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

104.

What type of transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

105.

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

106.

If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

107.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
108.

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

a)

(x, y) --> (x + 2, y - 5)

b)

(x, y) --> (x + 2, y - 9)

c)

(x, y) --> (x - 2, y - 9)

d)

(x, y) --> (x - 2, y + 9)

109.
How would you translate point P to P'?
a)
Translate 2 units to the right and  8 units down
b)
Translate 3 units down and 2 units to the right
c)
Translate 4 units down and 4 units to the left
d)
Translate 8 units to the right and 2 units down
110.

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

a)

(x, y) --> (x + 5, y + 8)

b)

(x, y) --> (x + 5, y - 8)

c)

(x, y) --> (x - 8, y + 5)

d)

(x, y) --> (x - 8, y - 5)

111.

Write the rule for this translation:

Slide 5 up and 7 right

a)

(x, y)---->(x + 5, y + 7)

b)

(x, y)-----> (x + 7, y + 5)

c)

(x, y)----> (x - 7, y - 5)

d)

(x, y)----> (7x, 5y)

112.

A figure is translated 9 units left and 3 units down. What algebraic rule describes this transformation?

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)

113.

What is the algebraic representation for the transformation shown?

a)

(x, y) ---> (x - 8, y + 3)

b)

(x, y) ---> (x - 4, y + 9)

c)

(x, y) ---> (x + 8, y - 3)

d)

(x, y) ---> (x + 4, y - 9)

114.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

c)

both x- and y-coordinates

d)

neither the x- nor the y-coordinate

115.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

c)

both the x- and y-coordinates

d)

neither the x- nor the y-coordinate

116.

Reflect (6, -3) over the x-axis. What are the new coordinates of that point after the reflection?

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

117.

Reflect the point (2, -4) over the y-axis. What are the new coordinates of that point after the reflection?

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

118.

What transformation is the following rule for?

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

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Rotate 90 degrees clockwise

d)

Rotate 270 degrees clockwise

119.

Where will A' be located if triangle ABC is reflected using the rule (x, y) --> (-x, y) ?

a)

(2,1)

b)

(1,-2)

c)

(-1,2)

d)

(-1, -2)

120.

What is the Algebraic Representation for this transformation?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

121.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
122.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(3, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(5, 3)

123.

Which rule describes rotating 180° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( -y, -x )

d)

( x, y ) → ( -y, x )

124.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 270° counterclockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

125.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 90° counterclockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

126.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 90° clockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

127.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 270° clockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

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