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Rigid Transformation Review

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
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)
2.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
3.

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

4.
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)
5.
What would the new point be if you rotated the point (3,-5) 270° clockwise?
a)
a.  (-3,-5) 
b)
b.  (-5,-3) 
c)
c.  (5,3)
6.
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)
7.

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.

8.

What are the coordinates of C(-6, 2) and B(-1, -1) if rotated 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)

9.
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)
10.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
11.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

12.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

13.

Figures that are same size, same shape and same angles are...

a)

Congruent

b)

Image

c)

Angles

d)

Vertices

14.

If the figure is rotated 270° clockwise about the origin, what are the coordinates of Q'?

a)

(-4, 1)

b)

(4, -1)

c)

(-1, -4)

d)

(-1, 4)

15.
Determine how to translate triangle ABC to triangle A'B'C'. 
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
16.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
17.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
18.
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)
19.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
20.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

21.
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)
22.
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
23.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

24.
Describe the transformation.
a)
translation: right 4 and up 6
b)
reflection across x=-2
c)
translation right 6 and down 1
d)
reflection across y=-2
25.
Describe the transformation.
a)
translation: right 3 and down 2
b)
felfection across y=-x
c)
rotation 180 degrees about the origin
d)
rotation 90 degrees clockwise about the origin
26.

Identify the correct picture which represents a 90o clockwise rotation about the origin.

a)
b)
c)
d)
27.
If a shape in Quadrant 2 reflects over the x-axis, which quadrant will the reflection be in?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
28.
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
29.
Which set of directions describes the translation from ABCD to A'B'C'D'?
a)
Down 6, left 3
b)
Down 3, right 6
c)
Up 3, left 6
d)
Up 6, right 3
30.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
5 units down and 5 units to the right
b)
5 units down and 1 to the right
c)
8 units down and 5 units to the right
d)
5 units down and 4 units to the right
31.
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
32.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
33.

Write a rule for the translation.

a)

(x, y)→(x−1, y+2)\left(x,\ y\right)\rightarrow\left(x-1,\ y+2\right)

b)

(x, y)→(x−2, y+1)\left(x,\ y\right)\rightarrow\left(x-2,\ y+1\right)

c)

(x, y)→(x+2, y−1)\left(x,\ y\right)\rightarrow\left(x+2,\ y-1\right)

d)

(x, y)→(x+1, y−2)\left(x,\ y\right)\rightarrow\left(x+1,\ y-2\right)

34.

Describe the transformation shown in the graph.

a)

Reflection over x-axis

b)

Reflection over y-axis

c)

Rotation 270 degrees counter-clockwise

d)

Rotation 90 degrees counter-clockwise

35.

What is the direction of translation for

 (x, y)→(x−4, y)\left(x,\ y\right)\rightarrow\left(x-4,\ y\right)  ?

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

36.

What is the direction of translation for

 (x, y)→(x, y+6)\left(x,\ y\right)\rightarrow\left(x,\ y+6\right)  ?

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

37.

Determine where X' would be if you translated X left 3 units and down 9 units.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

38.

Which figure shows the image of polygon ABCDE after a translation 3 units right and 3 units up?

a)
b)
c)
d)
39.

Triangle PQR has vertices as shown.

If the figure is translated 6 units down, what are the coordinates of R'?

a)

(-3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(3, 3)

40.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
41.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
42.
Rotating a pre-image _____degrees will place it back to its original position.
a)
180
b)
90
c)
270
d)
360
43.
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)
44.
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
45.
Which of the following are congruence transformations?
a)
Rotations
b)
Translations
c)
Reflections
d)
All Three
46.
The rule for rotation of 180 degrees is  
(x, y) --> _
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(-y, -x)
47.
Identify the transformation from A to B.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
48.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
49.

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

a)

2 units to the right, 5 units down

b)

2 units to the right, 9 units down

c)

2 units to the left, 9 units up

d)

2 units to the left, 5 units down

50.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

51.

Figures that are same size, same shape and same angles are...

a)

Congruent

b)

Image

c)

Angles

d)

Vertices

52.
How is the blue triangle rotated to the red triangle?
a)
90 clockwise
b)
90 counter-clockwise
c)
180 clockwise
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.
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)
55.
Triangle C is rotated 180° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
a)
(x,y)→(y, -x) 
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
56.
Triangle ABC has vertices A(5,2).  Find the coordinates of ABC after a reflection over the x-axis.
a)
A’(5, -2)
b)
A’(-5, -2)
c)
A’(-5, -2)
57.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
58.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
59.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
60.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
61.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
62.
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
63.
Which answer shows a reflection across the x-axis?
a)
a
b)
b
c)
c
d)
d
64.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
65.
Going from (x,y) to (-x,-y) will result in a counter-clockwise rotation of _____ degrees.
a)
90
b)
180
c)
270
d)
360
66.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
67.
Going from (x,y) to (-x,y) results in reflecting across _______.
a)
The x-axis
b)
The y-axis
c)
The line y=x
d)
The origin
68.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
69.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
70.
∆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)
71.
Tell whether the shaded figure is a reflection of the nonshaded figure.
a)
Yes
b)
No
72.
Tell whether the shaded figure is a rotation of the unshaded figure about the origin. If so, give the angle and direction of rotation.
a)
Yes, 90o clockwise
b)
Yes, 90o counter clockwise
c)
Yes, 180o
d)
No
73.
The following is a ...
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
74.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Alternate Image
d)
Image
75.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Triangle
76.
We have studied reflections, translations, and rotations.  Which of these always maintains the orientation of the pre-image (or original) to the image?
a)
Rotations
b)
Translations
c)
Reflections
d)
All Three
77.
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)
78.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
79.
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)
80.
.
a)
A
b)
B
c)
C
d)
D
81.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
82.
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
83.
What is this transformation?
(x, y) ----> (-x, y) 
a)
Reflect over the x axis
b)
Reflect over the y-axis
c)
Slide down 1
d)
slide left 1
84.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
85.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
86.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
87.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
88.
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)
89.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
90.
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
91.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
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.

What is the result of reflecting the point (4, -7) over the x-axis?

a)

(4, 7)

b)

(-4, -7)

c)

(-4, 7)

d)

(4, -7)

94.

If a figure is rotated 90° counterclockwise about the origin, what happens to the coordinates of a point (x, y)?

a)

(y, -x)

b)

(-y, x)

c)

(-x, -y)

d)

(x, y)

95.

Which transformation results in a figure that is a mirror image across the y-axis?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

96.

What is the result of reflecting point (3, -2) across the y-axis?

a)

(-3, -2)

b)

(3, 2)

c)

(-3, 2)

d)

(3, -2)

97.

Which transformation results in a figure that is congruent to the original?

a)

Translation

b)

Dilation

c)

Shear

d)

Stretch

98.

What are the coordinates of point P(3, -2) after a 180° rotation about the origin?

a)

(-3, 2)

b)

(3, 2)

c)

(-3, -2)

d)

(3, -2)

99.

If a triangle is reflected over the x-axis, which of the following points will remain unchanged?

a)

(0, 0)

b)

(2, -2)

c)

(-3, 3)

d)

(4, 5)

100.

Which transformation will map a figure from Quadrant 1 to Quadrant 3?

a)

Reflection over the y-axis

b)

Reflection over the x-axis

c)

180° rotation

d)

90° clockwise rotation

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