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Worksheets

Transformations

Total questions: 80

Worksheet time: 4hrs 57mins

Name
Class
Date
1.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
2.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
3.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

4.

Describe the transformation in the iamge

a)

Translation

b)

Reflection

c)

Rotation

5.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

6.
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
7.
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
8.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
9.
How is triangle A rotated to be triangle Y?
a)
180 clockwise
b)
90 clockwise
c)
90 counter-clockwise
10.
A dilation with a scale factor of 1/3 is a reduction. 
a)
True 
b)
False
11.
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)
12.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
13.

Which way do you rotate if you turn to the right?

a)

Clockwise

b)

Counter-clockwise

c)

upside down

d)

flip-flop

14.
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)
15.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
16.

When you dilate the figure by a scale factor of 3, what is the location of B'?

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

17.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
18.
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)
19.
When (3,-2) is reflected across the x-axis the resulting image point is:
a)
(-3,2)
b)
(-3,-2)
c)
(3,2)
d)
(6,-4)
20.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
21.
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)
22.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

23.

A double reflection over the x- and y-axes is the same as a ____________ of ______.

a)

Rotation of 180 Degrees

b)

Rotation of 90 Degrees

c)

Reflection over the x-axis

d)

Reflection over the y-axis

24.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations?  (x,y)(x+2, y4)\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)  then reflected over the  yaxis?y-axis?  

a)

 P(4, 1)P'\left(-4,\ 1\right)  

b)

 P(4, 1)P'\left(-4,\ -1\right)  

c)

 P(1, 4)P'\left(1,\ -4\right)  

d)

 P(1, 4)P'\left(-1,\ -4\right)  

25.

Find Q''' if Q(-3, 1) is reflected over the x-axis, then rotated 90 degrees, and then translated right 3 and up 4.

a)

(-3, 1)

b)

(4, 1)

c)

(4, -1)

d)

(-3,-1)

26.
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)
27.
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)
28.
How was B translated to B' if B' is at (4, -2)?
a)
Translated 6 units down
b)
Translated 2 units to the left and 6 units down
c)
Translated 2 units to the right and 6 units down
d)
Translated 2 units to the right
29.
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
30.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
31.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
32.
∆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)
33.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
34.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
35.
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)
36.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
37.
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)
38.
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)
39.
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)
40.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
41.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
42.
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)
43.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
44.
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
45.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
46.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
47.
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)
48.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
49.
Reflecting over the y-axis changes the sign of the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
50.
A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.
a)
rotation
b)
translation
c)
dilation
d)
reflection
51.
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
52.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
53.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
54.
Does the image show a Dilation?
a)
Yes
b)
No
55.
In translations, the image and the pre-image are always
a)
parallel
b)
next to each other
c)
congruent
d)
opposite
56.
After a figure has been transformed, we call the new figure the...
a)
Image
b)
Different shape
c)
Figure that moved
d)
Prime
57.
Translations, rotations, and reflections are three different types of what?
a)
Transformations
b)
Geometry
c)
Vectors
d)
Shapes
58.
The mathematical term for the line that you reflect a shape over is the...
a)
Mirror
b)
Reflective tape
c)
Line that you reflect over
d)
Line of reflection
59.

Which sequence of transformation was performed on the Pokemon shown?

a)

Reflection, Rotation, Dilation

b)

Reflection, Reflection, Dilation

c)

Rotation, Rotation, Dilation

d)

Translation, Reflection, Rotation

60.

Which sequence of transformation was performed on the Pokemon shown?

a)

Dilation, Translation, Reflection

b)

Dilation, Reflection, Rotation

c)

Rotation, Rotation, Dilation

d)

Translation, Dilation, Dilation

61.

Name the quadrant where POINT B is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

62.

What quadrant is the rectangle in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

63.

Which quadrant is the letter V located?

a)

II

b)

I

c)

III

d)

IV

64.

Which quadrant is letter S located?

a)

II

b)

I

c)

III

d)

IV

65.

Which quadrant is letter T located?

a)

II

b)

I

c)

III

d)

IV

66.

Which Quadrant is letter U located?

a)

II

b)

I

c)

III

d)

IV

67.

Which quadrant is the heart located?

a)

II

b)

I

c)

III

d)

IV

68.

Which quadrant is the star located?

a)

II

b)

I

c)

III

d)

IV

69.

Which quadrant is the circle located?

a)

II

b)

I

c)

III

d)

IV

70.

Which quadrant is the pentagon located?

a)

II

b)

I

c)

III

d)

IV

71.
Name the quadrant where POINT A is located. 
a)
Quadrant I
b)
Quadrant IV
c)
No Quadrant
d)
Quadrant II
72.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
73.
Name the quadrant where POINT B is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
74.

Identify the quadrant where the point is located. (10 , -5)

a)

I

b)

II

c)

III

d)

IV

75.

Identify the quadrant where the point is located. (6 , 3)

a)

I

b)

II

c)

III

d)

IV

76.

Identify the quadrant where the point is located. (-2, 6)

a)

I

b)

II

c)

III

d)

IV

77.

Identify the quadrant where the point is located. (-9 , -6)

a)

I

b)

II

c)

III

d)

IV

78.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
79.
What quadrant does the point (-2, -1) fall in?
a)
1
b)
2
c)
3
d)
4
80.

Identify the quadrant where the point is located. (-3 , -4)

a)

I

b)

II

c)

III

d)

IV