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Chapter 2 (Transformations)

Total questions: 89

Worksheet time: 2hrs 54mins

Name
Class
Date
1.
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
2.
Reflecting over the y-axis changes the sign of the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
3.
Reflections over the x-axis change the sign of the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
4.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
5.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
6.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
7.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
8.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
9.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
10.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
11.
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
12.
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)
13.
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)
14.
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)
15.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
16.
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
17.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
18.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
19.
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
20.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
21.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
22.
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
23.

Describe the transformation

a)

Reflection over the y-axis

b)

Reflection over the x-axis

c)

Rotation 90 degrees clockwise

d)

Rotation 180 degrees

24.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
25.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

26.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

27.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
28.
What Transformation is visible?
a)
Reflection
b)
Translation
c)
Dilation
d)
Rotation
29.
Is this rotation or reflection symmetry?
a)
Rotation
b)
Reflection
c)
Translation
30.
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
31.
a transformation that changes the size of a figure, but not the shape
a)
translation
b)
rotation
c)
reflection
d)
dilation
32.
Determine where T' would be if you translated T three units to the right and six units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
33.
Determine where X' would be if you translated X three units to the left and nine units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
34.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

35.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
36.
All angles in similar figures are congruent.  
a)
True
b)
False
37.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
38.
Find the value of x (to the nearest whole number)
a)
5
b)
7
c)
9
d)
11
39.

What type of transformation is this?

a)

Translation

b)

Dilation

c)

Reflection

d)

Rotation

40.

What type of transformation changes the size?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

41.

Which words describe a dilation?

a)

slide

b)

turn

c)

spin

d)

reduction

42.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right two, down five
b)
right two, down 9
c)
left two, up 9
d)
left two, down 5
43.
Does the image show a Dilation?
a)
Yes
b)
No
44.
Dilate Point A by a scale factor of 1/2
a)
(-4,-4)
b)
(-1,-4)
c)
(-1,-1)
d)
(-2,-2)
45.

A flip is also called ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

46.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
47.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
48.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
49.

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

a)

a reflection followed by a translation

b)

a translation followed by a rotation

50.

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

a)

translation then rotation

b)

translation then reflection

c)

rotation then reflection

51.

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

a)

translation then translation

b)

rotation then rotation

c)

reflection then translation

52.
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)

Rotate 90˚ counter-clockwise about the origin then reflect over the x

53.
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)
54.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
55.
Does the image show a dilation?
a)
Yes
b)
No
56.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

57.

A reflection ____________________.

a)

turns a figure around a point.

b)

slides an object form one place to another.

c)

flips or mirrors an object across a line.

d)

changes the size of an object.

58.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

59.

This type of transformation changes the size:

a)

rotation

b)

translation

c)

reflection

d)

dilation

60.

Which picture shows a TRANSLATION?

a)

b)

c)

d)

61.

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)

62.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

63.
Tell whether the shaded figure is a reflection of the nonshaded figure.
a)
Yes
b)
No
64.
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
65.

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)

66.

A dilation produces a congruent figure

a)

True

b)

False

67.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
68.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
69.
What color is the y-axis?
a)
red
b)
black
c)
green
d)
white
70.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

71.

What does congruent mean?

a)

your nose is plugged up

b)

your pre image and image are the same color

c)

your image is the same type of shape as the pre image

d)

your image is the same shape AND size as the pre image

72.

What type of transformation is this?

a)

Transformation

b)

Reflection

c)

Rotation

d)

Dilation

73.

Dilations create _________ figures.

a)

Congruent

b)

Similar

74.
a)

Yes

b)

No

75.

In a dilation, if the scale factor is greater than 1 the image gets ________

a)

Bigger

b)

Smaller

76.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
77.
a)

-3

b)

2/3

c)

4

d)

3/4

78.
a)

A. The image is smaller than the pre-image.

b)

B. The Triangle GHI is similar to Triangle G'H'I

c)

C. The transformation shown is a dilation.

d)

D. Segment GH is congruent to segment G'H'

79.
a)

A. A dilation will always enlarge a figure.

b)

B. A dilation will always produce congruent figures.

c)

C. A dilation will always produce similar figures.

d)

D. A dilation will always change the orientation of a figure

80.
a)

A. 3

b)

B. 6

c)

C. 3/5

d)

D. 3/2

81.

Identify the transformation performed

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

82.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
83.

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)

84.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
85.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
86.

Which is a true statement about dilations?

a)

A dilation will always enlarge a figure.

b)

A dilation will always produce congruent

figures.

c)

A dilation will always produce similar figures.

d)

A dilation will always change the orientation of

a figure.

87.

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

88.

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)

89.

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)

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