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M8 Unit 2 Review (Transformations)

Total questions: 98

Worksheet time: 4hrs 47mins

Name
Class
Date
1.

Which of the following means translation?

a)

flip

b)

turn

c)

slide

d)

expand

2.

If point a were translated +7 in the x-direction and +3 in the y-direction, where would the point end up?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

3.

How many units in the y-direction would the red square have to move to end up exactly where the blue square is?

a)

-5

b)

0

c)

+8

d)

+11

4.

Which pair of shapes shows a translation?

a)
b)
c)
d)
5.

Triangle A was translated to triangle B. How was it translated?

a)

+10 in x-direction , -3 in y-direction

b)

+ 10 in x-direction, -4 in y-direction

c)

+9 in x-direction , -3 in y-direction

d)

+11 in x-direction , -3 in y-direction

6.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
7.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
8.

G is plotted at (3, -2) and is reflected across the y-axis. Which ordered pair below shows this reflection?


*Use the coordinate plane to help you.

a)

(3, 2)

b)

(-3, -2)

c)

(2, 3)

d)

(-2, 3)

9.

A is plotted at (-6, -1) and is reflected across the x-axis Which ordered pair below shows this reflection?

a)

(1, 6)

b)

(6, 1)

c)

(-6, 1)

d)

(-1, -6)

10.
What is the reflection of F (3, 4) over the x-axis?
a)
F (-3, -4)
b)
D' (3, -4)
c)
D (-3, 4)
d)
D (4, 3)
11.
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)
12.
The new figure created from a transformation is... 
a)
Congruent 
b)
Preimage 
c)
Image 
d)
Angle 
13.
What is a transformation that turns a figure about a fixed point for a given angle?
a)
Point of Rotation 
b)
Vertex 
c)
Rotations
d)
Image 
14.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
15.
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)
16.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
17.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
18.

A dilation produces a congruent figure

a)

True

b)

False

19.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
20.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
21.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
22.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

23.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
24.
A dilation always produces a congruent figure.
a)
True
b)
False
25.
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)
26.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

27.

What quadrant is the image now in?

a)

I

b)

II

c)

III

d)

IV

28.

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

a)

$

b)

#

c)

'

d)

&

29.
changing a shape using a turn, flip, slide, or a resize.
a)
Transformation
b)
Translation
c)
Rotation
d)
Scale Factor
30.
Same shape but different size
a)
Congruent
b)
Vector
c)
Line of Reflection
d)
Similar
31.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
32.
The result of a transformation.
a)
Pre-image
b)
Image
33.
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)
34.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
35.
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)
36.

Plot A' after a translating Point A (2, 6) using the rule:

(x, y) ---> (x - 3, y + 2).

37.

Select the image point after a reflecting point A across the y-axis.

A
B
38.

Which of the following is a reflection?

a)

b)

39.

This figure was reflected over which axis?

a)

x-axis

b)

y-axis

40.

Match the following

a)
1.

Reflection over the y-axis

b)
2.

Reflection over the x-axis.

c)
3.

translation

41.

Figure ABC was ​ (a)   about the ​ (b)   .

Choose from the below words
reflected
y-axis
translated
x-axis
rotated
42.

Match the following

a)
1.

Clockwise

b)
2.

Counterclock-wise

c)
3.

90 degree rotation

d)
4.

180 degree rotation

43.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
d)
90 degrees clockwise
44.

Plot the image after a rotation of 180 degrees.

45.

Which point is a rotation of Point A 90 degrees clockwise?

A
B
C
46.

In this figure, triangle TRS is the ​ (a)   , triangle T'R'S' is the ​ (b)   and a(n) ​ (c)   occurred.

Choose from the below words
pre-image
image
enlargement
reduction
spin
flip
47.

Quadrilateral NDPM was dilated to quadrilateral N'D'P'M'. What was the scale factor for this dilation?

a)

2

b)

3

c)

1/3

d)

1/2

48.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
49.

State the coordinates of point C after a dilation with a scale factor of 1/2 and center about the origin.

a)

(-3, -2)

b)

(3, -2)

c)

(-12, -8)

d)

(-2, -3)

50.

State the coordinates of point A after a dilation, with the center of dilation at (0,0), and a scale factor of 2.

a)

(2,2)

b)

(8,8)

c)

(0,12)

d)

(4,12)

51.

Reflections over the x-axis change the __________.

a)

y-coordinate

b)

x-coordinate

52.

Reflections over the y-axis change the ___________.

a)

y-coordinate

b)

x-coordinate

c)

y-axis

d)

x-axis

53.
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
54.

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)

55.

Triangle IJK has the coordinates listed.

I (5, -8) J (10, -8) K (7, -4)

Where is J' after a reflection over the y-axis?

a)

(10, 8)

b)

(-10,8)

c)

(-10, -8)

d)

(-8, -10)

56.

Which of the following is the algebraic representation for a translation 7 units left and 6 units up?

a)

(x + 7, y - 6)

b)

(x - 7, y + 6)

c)

(x + 6, y - 7)

d)

(x - 6, y + 7)

57.

Which is the algebraic representation for a rotation 180 degrees clockwise?

a)

(y, x)

b)

(-y, x)

c)

(y, -x)

d)

(-x, -y)

58.

Which transformation will always produce the same image as a rotation 90 degrees counterclockwise?

a)

A reflection over the y-axis

b)

A rotation 270 degrees clockwise

c)

A rotation 90 degrees clockwise

d)

A reflection over the x-axis

59.

Which is true about the transformation shown?

a)

The graph shows a translation, and the pre-image and the image are congruent.

b)

The graph shows a reflection, and the pre-image and the image are congruent.

c)

The graph shows a translation, and the pre-image and the image are similar (same shape, different size).

d)

The graph shows a reflection, and the pre-image and the image are similar (same shape, different size).

60.

Which is not a true statement about the transformation shown here?

a)

The two figures are congruent.

b)

The pre-image is in quadrant I.

c)

The orientation of the figure stayed the same.

d)

The transformation is a reflection.

61.

Match the following TRANSLATIONS

a)

(x, y)-->(x-3, y+4)

1.

left 3, up 4

b)

(x, y)-->(x-3, y-4)

2.

left 3, down 4

c)

(x, y)-->(x+3, y-4)

3.

right 3, down 4

d)

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

4.

right 5, up 2

e)

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

5.

left 5, up 2

62.

A reflection over the x-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation is ​ (c)  

Choose from the below words
x-value
y-value
(x, y)-->(x, -y)
(x, y)-->(-x, y)
63.

A reflection over the y-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation is ​ (c)  

Choose from the below words
y-value
x-value
(x, y)-->(-x, y)
(x, y)-->(x, -y)
64.

Match the following transformations:

a)

Reflection over x-axis

1.

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

b)

Reflection over y-axis

2.

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

c)

90°90\degree Clockwise rotation

3.

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

d)

90°90\degree Counter-Clockwise rotation

4.

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

e)

180°180\degree rotation

5.

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

65.

Which of the following does NOT preserve congruence?

a)

Dilations

b)

Translations

c)

Reflections

d)

Rotations

66.

Match the following

a)

Dilation

1.

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

b)

Translation

2.

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

c)

Reflection over x-Axis

3.

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

d)

Reflection over y-Axis

4.

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

e)

180°180\degree Rotation

5.

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

67.
What color is the x-axis?
a)
red
b)
black
c)
green
d)
white
68.
What color is the y-axis?
a)
red
b)
black
c)
green
d)
white
69.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
70.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
71.
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
72.
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
73.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
74.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

75.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

76.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

77.
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
78.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
79.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
80.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
81.
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)
82.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
83.
A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this? 
a)
dilation
b)
translation
c)
rotation
d)
reflection
84.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
85.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
86.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
87.
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)
88.
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
89.

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

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+9, y-2)

90.

Find K' if the figure is reflected across the x-axis.

a)

(4, 1)

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

91.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
92.
Which point is the image of point B(-2, 4) reflected over the x-axis?
a)
(2, 4)
b)
(2, -4)
c)
(-2, -4)
d)
(-2, 4)
93.

What is the angle of the clockwise rotation?

a)

90°

b)

180°

c)

270°

94.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

180⁰

c)

90⁰ clockwise

d)

270⁰ counterclockwise

95.
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)
96.
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)
97.
Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.
a)
(-8,5)
b)
(8,-5)
c)
(8,5)
d)
(5,-8)
98.
Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)

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