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Geometry Unit 2 Review

Total questions: 93

Worksheet time: 2hrs 20mins

Name
Class
Date
1.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
2.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
3.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
4.
True or false: A reflection makes a congruent figure. 
a)
true
b)
false
5.
When an ordered pair is reflected across the x-axis, what changes?
a)
nothing
b)
y-value
c)
x-value
6.
The ordered pair (-3, 4) is reflected across the x-axis. What is the new ordered pair?
a)
(-3, -4)
b)
(3, 4)
c)
(3, -4)
d)
(-3, 4)
7.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
8.

Identify the transformation:

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

9.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
10.

Identify the rigid transformation shown in the picture

a)

Translation

b)

Reflection

c)

Rotation

11.

Identify the transformation:

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

12.
The result of a transformation.
a)
Pre-image
b)
Image
13.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
14.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
15.

True or False: Rigid motions preserve segment length.

a)

True

b)

False

16.

Which of the following is NOT a rigid motion?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

17.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
18.
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
19.
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)
20.
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
21.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
22.
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
23.

Where will A' be located after a clockwise rotation of 90 degrees about vertex C?

a)

(-4, 6)

b)

(4, 6)

c)

(6, 4)

d)

(-6, 4)

24.

Which transformation occurred in the picture shown?

a)

Reflection

b)

90° Rotation

c)

Translation

d)

180° Rotation

25.

What type of transformation is shown in the picture?

a)

180° Rotation

b)

Reflection

c)

90° Rotation

d)

Translation

26.

What transformation is shown in the picture?

a)

Reflection over the x - axis

b)

180° Rotation

c)

Translation

d)

Reflection over the y - axis

27.

What transformation is shown in the picture?

a)

Reflection over the x - axis

b)

90° Rotation

c)

Translation

d)

180° Rotation

28.

What transformation is shown in the picture?

a)

Reflection over the x - axis

b)

90° Rotation

c)

Translation

d)

180° Rotation

29.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
30.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
reflection
b)
translation
c)
rotation
d)
dilation
31.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
32.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
33.
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
34.

A counterclockwise rotation of 90° is equivalent to how many degrees of rotation clockwise?

a)

90°

b)

180°

c)

270°

d)

360°

35.

Triangle D 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

36.
The red triangle represents what type of rotation:
a)
180° Clockwise
b)
90° Clockwise
c)
90° Counter Clockwise
d)
270° Clockwise
37.
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)
38.
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)
39.
What is the algebraic representation of translating a figure 3 units left and 5 units down?
a)
(x+5, y-3)
b)
(x-5, y+3)
c)
(x-3, y+5)
d)
(x-3, y-5)
40.
When translating a figure on a coordinate plane, which coordinate is affected by movement up and down?
a)
The x-coordinate
b)
The y-coordinate
c)
Neither
41.
When translating a figure on a coordinate plane, which coordinate is affected by movement left and right?
a)
The x-coordinate
b)
The y-coordinate
c)
Neither
42.
Where would A' be if you translated A 3 units to the right and 4 units down?
a)
(-4, 4)
b)
(-1, 0)
c)
(0, -1)
43.
Where would point J' be if you translated point J 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
44.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
45.

Reflecting over the y-axis CHANGES the ____-_____________.

a)

y-coordinate

b)

x-coordinate

46.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(3, 0)

47.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

48.

What axis is the triangle being reflected over?

a)

x-axis

b)

y-axis

49.

Which answer shows a reflection across the x-axis?

a)

a

b)

b

c)

c

d)

d

50.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
51.
What is the rule for the following reflection? 
a)
Reflection across       y = 3
b)
Reflection across        x = −3
c)
Reflection across            x = 3
d)
Reflection across          y = −3
52.
You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________
a)
x = -4
b)
y = -4
c)
x - y = 4
d)
None of these
53.

Can you spot the reflection of this shape?

a)
b)
c)
d)
54.

Can you spot the reflection of this shape?

a)
b)
c)
d)
55.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

56.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

57.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise 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 counterclockwise about the origin.

58.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

59.
Describe a sequence of transformations that maps figure A onto figure B.
a)
A translation 4 units right followed by a reflection across the x-axis
b)
A reflection across the x-axis followed by a reflection across the y-axis
c)
A reflection across the y-axis followed by a translation 6 units down
d)
A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis
60.

Identify the sequences of transformations from the green image to the red image to the blue image.

a)

rotation then translation

b)

translation then rotation

c)

translation then reflection

d)

rotation then reflection

61.

Identify the sequences of transformations from the red image to the blue image to the green image.

a)

translation then translation

b)

rotation then reflection

c)

rotation then rotation

d)

reflection then translation

62.

Which sequence of transformations will result from shape F to its image shape F''?

a)

Reflection over both axes

b)

Reflection, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

63.
What is the sequence of transformations?
a)
Reflect over the y-axis then reflect over the x-axis
b)
Reflect over the x-axis then reflect over the y-axis
c)
Translate 4 units then rotate 90˚ counter-clockwise about the origin
d)
Rotate 90˚ counter-clockwise about the origin then reflect over the x
64.

What combinaton of transformations is shown?

a)

Rotation, then translation

b)

Translation, then reflection

c)

Rotation, then reflection

d)

Translation, then rotation

65.

What combination of transformations is shown?

a)

Reflection, then rotation

b)

Translation, then rotation

c)

Translation, then reflection

d)

Reflection, then translation

66.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
67.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
68.
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
69.
A dilation produces a similar figure
a)
True
b)
False
70.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
71.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
72.

What can you say about the scale factor, k?

a)

k > 1

b)

k = 1

c)

0 < k < 1

73.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
74.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
75.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
76.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
77.
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)
78.

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(1,3) B(-2,4) C(5,-7)

a)

A'(3,9) B'(1,8) C'(10,-4)

b)

A'(4,6) B'(1,7) C'(8,-4)

c)

A'(1,3) B'(-2,4) C'(5,-7)

d)

A'(3,9) B'(-6,12) C'(15,-21)

79.

Dilate the figure by a scale factor of 0.5  with the origin as the center of dilation. What are the coordinates of the image?
A(12,4) B(6,6) C(10,2)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,2) B'(3,3) C'(5,1)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

80.

Quad OBCD is similar to Quad OHTE because:

a)

Quad OBCD can be reflected over the x axis and then rotated 90 degrees

b)

Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

c)

Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

d)

Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.

81.

ΔOBC is similar to ΔOGT because: (choose the best answer)

a)

ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

b)

ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

c)

They aren't similar

d)

They map to each other with similarity transformations.

82.

Which is an Example of a dilation

a)
b)
c)
d)
83.

What sequence of transformations will get you from triangle ABC to its image triangle A'B'C'?

a)

Reflection, then Translation

b)

Rotation, then Dilation

c)

Reflection, then Rotation

d)

Dilation, then Reflection

84.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
85.
A scale factor of 1/2 reduces a figure.
a)
True
b)
False
86.

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

87.

Which sequence of transformation was performed on the Pokemon shown?

a)

Rotation, Reflection, Dilation

b)

Reflection, Reflection, Dilation

c)

Rotation, Rotation, Dilation

d)

Translation, Rotation, Reflection

88.

Which sequence of transformation was performed on the Pokemon shown?

a)

Rotation, Reflection, Rotation

b)

Reflection, Reflection, Rotation

c)

Rotation, Rotation, Translation

d)

Translation, Rotation, Reflection

89.

Which sequence of transformation was performed on the Pokemon shown?

a)

Dilation, Rotation, Reflection

b)

Dilation, Reflection, Rotation

c)

Dilation, Rotation, Translation

d)

Translation, Rotation, Reflection

90.

Which sequence of transformation was performed on the Pokemon shown?

a)

Translation, Rotation, Dilation

b)

Dilation, Reflection, Rotation

c)

Dilation, Rotation, Dilation

d)

Translation, Rotation, Reflection

91.

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

92.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
93.
Enlargement or reduction?  Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.

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