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Transformation Review

Total questions: 77

Worksheet time: 5hrs 18mins

Name
Class
Date
1.

The image of the point (-5, 3) reflected over the x-axis would be:

a)

(-5, -3)

b)

(5, 3)

c)

(5, -3)

d)

(3, -5)

2.

The image of the point (2, -7) reflected over the y-axis. What is the now point?

a)

(2,-7)

b)

(2, 7)

c)

(-2, -7)

d)

(-2,7)

3.

Given the point Y at (5, 2), where would the image be after the following translation: (x + 2, y - 7)?

a)

(7, 7)

b)

(3, 9)

c)

(4, -5)

d)

(7, -5)

4.

Given the point A at (-6, -2), where would the image be after the translation T(-4, 2)?

a)

(-2, 4)

b)

(-10, 0)

c)

(2, 0)

d)

(-8, -4)

5.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
6.
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
7.
∆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)
8.
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)
9.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
10.
Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?
a)
(3,3)
b)
(-3,3)
c)
(3,-3)
d)
(-3,-3)
11.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
12.
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)
13.

Describe the translation of Point A (3, -8) to A'(-4, -5).

a)

(x - 4, y - 5)

b)

(x + 7, y - 3)

c)

(x - 7, y + 3)

d)

(x - 3, y + 7)

14.

A dilation produces a similar figure

a)

True

b)

False

15.

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

a)

True

b)

False

16.

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

17.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
18.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
19.
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)
20.
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)
21.
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
22.

What is the Algebraic Representation for this transformation?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

23.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 270° counterclockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

24.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 90° counterclockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

25.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 90° clockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

26.

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 270° clockwise. What algebraic rule describes this transformation?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

27.

Flipping a figure is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

28.

What would be the coordinates of point K if it was reflected over the x-axis?

a)

(-5, -2)

b)

(-5, 2)

c)

(5, -2)

29.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
30.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
31.
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
32.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

33.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
34.
Choose the correct scale factor:
a)
2.5
b)
1.5
c)
3.5
d)
4
35.
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)
36.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
37.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
38.

State the coordinates of the image of point C after a dilation with a scale factor of 1/2.

a)

(-6, 1)

b)

(-3, -2)

c)

(1, -6)

d)

(-2, -3)

39.

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)
b)
c)
d)
40.

The center of dilation is important because

a)

it's the location from which the dilation occurs.

b)

All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

c)

it's a fixed point on the plane about which all points are expanded or contracted.

d)

All of the above

41.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
42.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
43.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
44.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
45.
What is the scale factor if the smaller rectangle is the original rectangle?
a)
4
b)
.25
c)
5
d)
6
46.
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
47.
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)
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.
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
50.
What Transformation is visible?
a)
Reflection
b)
Translation
c)
Rotation
d)
Dilation
51.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
52.

If your Scale Factor = 7/7, what happens to the figure when dilated?

a)

reduced

b)

enlarge

c)

preserve

d)

It turns into an octopus

53.
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)
54.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
55.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
56.
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
57.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
58.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
59.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
60.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
61.

If you want to find the scale factor from one figure to another, which formula should you use?

a)

New/Original

b)

Original/New

c)

Part/Whole

62.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

63.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

2

d)

3

64.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
65.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
66.
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)
67.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
68.

Type the rule for a scale factor of 3. Include ( ) and no spaces.

(a)  

69.

Dilate the figure by a scale factor of 3. 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)

70.

Point A = (3,-6) , Scale Factor 1/3, Point A' = ______

a)

(1,2)

b)

(-1,-2)

c)

(1,-2)

d)

(-2,1)

71.

Triangle ABC has vertices at A(2,3) B(-5,-1) C(0,5). Its image, Triangle A'B'C', has vertices at A'(4,6) B'(-10,-2) and C'(0,10). What is the scale factor?

a)

1/2

b)

1

c)

2

d)

4

72.
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 
73.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
74.
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)
75.
How do you write the algebraic notation when the scale factor is 1/2?
a)
(x, y) goes to (2x, 2y)
b)
(x, y) goes to (1/2x, 1/2y)
c)
(x, y) goes to (-2x, -2y)
d)
(x, y) goes to (2x, 1/2y)
76.
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
77.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3

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