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dilations transformations

Total questions: 87

Worksheet time: 4hrs 46mins

Name
Class
Date
1.

Which rule would represent a dilation?

a)

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

b)

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

c)

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

d)

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

e)

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

2.

Which rule would represent a translation?

a)

(x, y) --> (x + 290, y + 43)

b)

(x, y) --> (x - 9, 2y)

c)

d(x, y) --> (12x, 12y)

d)

all of these are translation rules

3.

Which rule shows a reflection over the x-axis?

a)

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

b)

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

c)

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

d)

Not here

4.

Which rule shows a reflection over the y-axis?

a)

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

b)

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

c)

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

d)

Not here

5.

Point T(9, -7) is translated by the rule (x, y) --> (x - 12, y - 11). What are the coordinates of T'?

a)

(-3, -18)

b)

(-3, 4)

c)

(-3, 18)

d)

(3, 4)

e)

(3, 18)

6.

Point K(3, -6) is reflected over the y-axis. What is the coordinates of K'?

a)

(-3, -6)

b)

(-3, 6)

c)

(3, 6)

d)

(3, -6)

e)

not here

7.

If a figure is dilated by a scale factor of 1/3, what happens to perimeter?

a)

1/3 of the size

b)

1/9 the size

c)

2/3 the size

d)

not here

e)

2/9

8.

Point B(-7, -12) is reflected over the x-axis. What are the coordinates of B'?

a)

(7, 12)

b)

(-7, 12)

c)

(7, -12)

d)

(-7, -12)

9.

A figure is dilated so that point C(2, 9) becomes C'(8, 36). what is the rule for this transformation?

a)

(x, y) --> (1/4x, 1/4y)

b)

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

c)

(x, y) --> (x + 6, y + 27)

d)

Not here

e)

(x, y) --> (x - 6, y - 27)

10.

A figure is dilated so that point C(8, 36) becomes C'(2, 9). what is the rule for this transformation?

a)

(x, y) --> (1/4x, 1/4y)

b)

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

c)

(x, y) --> (x - 6, y - 27)

d)

Not here

e)

(x, y) --> (x + 6, y + 27)

11.

Choose the rule that was used to transform this figure.

a)

(x, y) --> (x - 5, y + 3)

b)

(x, y) --> (x + 5, y - 3)

c)

(x, y) --> (x + 3, y - 5)

d)

(x, y) --> (x - 3, y + 5)

e)

Not here

12.

What is the rule for this transformation?

a)

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

b)

(x, y) --> (1/2x, 1/2y)

c)

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

d)

Not here

13.

Which transformation(s) preserve congruency?

(Choose all that apply)

a)

rotations

b)

reflections

c)

translations

d)

dilations

14.
Which rule shows the transformation?
a)
(x, y) ----> (0.5x, 0.5y)
b)
(x, y) ----> ( 2 + x, 2 + y)
c)
(x, y) -----> (2x, 2y)
d)
(x, y) -----> (3x, 3y)
15.

Which of the following describes the sequence of transformations shown?

a)

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

b)

Rotate 90 degrees cw 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 ccw about the origin.

16.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
17.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
18.
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)
19.
If we reflect triangle ABC over the line shown (y=-x), where would A' be located? 
a)
(2,-5)
b)
(1,2)
c)
(-1,-3)
d)
(-1,-2)
20.
The result of a transformation.
a)
Pre-image
b)
Image
21.
If a Scale Factor is between 0 and 1, then your figure gets...
a)
Smaller
b)
 Bigger
c)
Turned upside-down
d)
Does not change
22.
If a Scale Factor if greater than 1, then your figure gets...
a)
Smaller
b)
Bigger
c)
Turned upside-down
d)
Does not change
23.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
24.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
d)
Orientation
25.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
26.
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
27.
Translation always create  _______ images
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
28.
When you translate, (x,y) --> (x - 4 , y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
29.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counterclockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
30.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
31.
Which statement is FALSE about dilations?
a)
Dilations preserve size.
b)
Dilations preserve shape.
c)
Dilations preserve orientation.
d)
Dilations can make smaller or larger images.
32.

How do we define movement in Math?

a)

By describing Translations

b)

By describing Rotations

c)

By describing Reflections

d)

By describing Transformations

e)

By describing Dilations

33.

What does it mean to translate a shape?

a)

To make the shape bigger or smaller.

b)

To turn, or spin, a shape.

c)

To move a shape up, down, left, and right.

d)

To flip a shape.

34.

What does it mean to rotate a shape?

a)

To make a shape bigger, or smaller.

b)

To turn, or spin, a shape.

c)

To move a shape up, down, left, and right.

d)

To flip a shape.

35.

What does it mean to reflect a shape?

a)

To make a shape bigger or smaller.

b)

To turn, or spin, a shape.

c)

To move a shape up, down, left, and right.

d)

To flip a shape.

36.

What does it mean to dilate a shape?

a)

To make a shape bigger or smaller.

b)

To turn, or spin, a shape.

c)

To move a shape up, down, left, and right.

d)

To flip a shape.

37.

Select the transformation that would take Figure A to Figure B.

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

e)

None of these transformations

38.

What type of transformation is pictured here?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

e)

None of the above

39.

What type of transformation is pictured here?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

e)

None of these

40.

Which type of transformation would this be?

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

e)

None of these

41.

Translations, reflections, rotations and dilations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

d)

Equations

42.

A rotation

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

43.

A reflection

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

44.

A translation

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

45.
A _______ is a transformation that enlarges or reduces a figure by a scale factor relative to a center point.
a)
Rotation
b)
Translation
c)
Dilation
d)
Reflection
46.

Which of the following shows a dilation?

a)
b)
c)
d)
47.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

d)

Dilation

48.

Which of the following shows a translation?

a)
b)
c)
d)
49.

Which of the following shows a reflection?

a)
b)
c)
d)
50.

Which of the following shows a rotation?

a)
b)
c)
d)
51.
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 nor a reduction
52.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
53.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
54.
A dilation always produces a congruent figure.
a)
True
b)
False
55.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
56.
Did the image enlarge, reduce or none of the above?
a)
Enlarge
b)
Reduce
c)
None of the above
57.
What scale factor was used to produce the image?
a)
2
b)
3
c)
1/3
d)
1/2
58.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
59.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
60.
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
61.
Under a dilation, which scale factor will result in a congruent image?
a)
-2
b)
0
c)
1
d)
1/2
62.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
63.

A dilation produces a similar figure

a)

True

b)

False

64.

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

a)

True

b)

False

65.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

66.

A dilation is which of the following:

a)

an enlargement

b)

a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

67.
Does the image show a Dilation?
a)
Yes
b)
No
68.
The "image" is the shape before the dilation.
a)
True
b)
False
69.
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
70.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
71.

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

72.
A scale factor of less than one means
a)
that the image will be larger than the pre-image.
b)
That the image will be the same as the pre-image.
c)
That you need to subtract that amount off  of each side.
d)
That the image will be a reduction of the pre-image.
73.

A dilation produces a congruent figure

a)

True

b)

False

74.

What would be the scale factor (k) in the dilation shown?

a)

1

b)

1/2

c)

4

d)

2

75.
Does the image show a Dilation?
a)
Yes
b)
No
76.
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
77.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

78.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
79.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
80.
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
81.
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
82.
Makes a figure bigger or smaller
a)
Transformation
b)
Composition
c)
Rotation
d)
Dilation
83.
A dilation produces a similar figure
a)
True
b)
False
84.
A dilation produces a congruent figure
a)
True
b)
False
c)
D
85.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
86.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
87.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)

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