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Transformations REVIEW

Total questions: 80

Worksheet time: 3hrs 59mins

Name
Class
Date
1.
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.
2.

What is the rule for reflecting across the y-axis?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

3.

What is the rule for reflecting across the x-axis?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

4.

Which answer shows a reflection across the x-axis?

a)

a

b)

b

c)

c

d)

d

5.
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
6.
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
7.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

8.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
9.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

10.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

11.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
12.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
13.

What shape is the reflection from shape E in the x-axis?

a)

A

b)

C

c)

B

14.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
15.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
16.

Where will A' be at, if triangle ABC is reflected across the y-axis?

a)

(2,1)

b)

(1,-2)

c)

(-1,2)

17.
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)
18.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
19.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
20.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
21.
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
22.
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)
d)
(x, y)----> (x - 2, y - 3)
23.
When a figure is translated to the right, what happens?
a)
You subtract from the y-value
b)
You add to the y-value
c)
You subtract from the x-value
d)
You add to the x-value
24.
When a figure is translated to the left what happens?
a)
You add to the x-value
b)
You subtract from the x-value
c)
You add to the y-value
d)
You subtract from the y-value
25.
When a figure is translated up what happens?
a)
You add to the x-value
b)
You subtract from the x-value
c)
You add to the y-value
d)
You subtract from the y-value
26.
When a figure is translated down what happens?
a)
You subtract from the y-value
b)
You add to the y-value
c)
You subtract from the x-value
d)
You add to the x-value
27.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1) 
What are the coordinates of K'? 
a)
(6, 3)
b)
(7, 3) 
c)
(7, 1) 
d)
(5, 3) 
28.
Pre-image: (3, 6)
Rule: (x,y) --> (x – 3, y + 4)
Coordinates of new image:
a)
(6, 2) 
b)
(0, 10) 
c)
(-3, 4) 
d)
(0, 2) 
29.
Pre-image: (–3, 1)
Rule: Translate left 1 unit and up 2 units
Coordinates of new image:
a)
(–4, 3) 
b)
(–2, 3) 
c)
(1, 2) 
d)
(–4, -1) 
30.
Pre-image: (4, –2)

Rule: (x,y)-->(x – 3, y – 2)

Coordinates of new image:
a)
(7, -4) 
b)
(1, –4) 
c)
(1, 0) 
d)
(7, 0) 
31.
Pre-image: (5, –1)

Rule: Translate right 2 units and up 4 units

Coordinates of new image:
a)
(3, -5) 
b)
(7, –5) 
c)
(7, 3) 
d)
(2,4) 
32.
Pre-image: (–1, 2)

Rule: (x,y)-->(x, y – 1)

Coordinates of new image:
a)
(1, -3) 
b)
(1, 1) 
c)
(–1, 3) 
d)
(–1, 1) 
33.
Pre-image: (2, 2)

Rule: (x,y)-->(x + 5, y – 1)
Coordinates of image:
a)
(3, 1) 
b)
(7, 1) 
c)
(7, 3) 
d)
(1, 3) 
34.
Pre-image: (5, -4)

Rule: (x,y)-->(x – 1, y)

Coordinates of image:
a)
(4, -4) 
b)
(5, 4) 
c)
(6, -4) 
d)
(6, 4) 
35.
Pre-image: (3, 2)

Rule: Translate -4 units along the x-axis and 1 unit along the y-axis

Coordinates of image:
a)
(7, 3) 
b)
(-1, 3) 
c)
(4, -2) 
d)
(7, 3) 
36.
Pre-image: (2, –7)

Rule: Translate 3 units vertically and –2 units horizontally

Coordinates of image:
a)
(5, –5) 
b)
(5, –9) 
c)
(4, –9) 
d)
(0, -4) 
37.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
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 this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
40.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
41.
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
42.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-y,x)
d)
(x,y)→(-x,-y)
43.
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)
44.
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)
45.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
d)
90 degrees clockwise
46.
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
47.

A counterclockwise rotation of 90° is the same as how many degrees of rotation clockwise?

a)

90°

b)

180°

c)

270°

d)

360°

48.

If you were to rotate ABCD 180° about the origin, what would the coordinate of B' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

49.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
50.

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

a)

270⁰ clockwise

b)

360⁰

c)

90⁰ counterclockwise

d)

180⁰

51.

Triangle B is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-x,-y)

d)

(x,y)→(-y,x)

52.

What is another word for rotation?

a)

Turn

b)

Flip

c)

Slide

d)

Shrink

53.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

54.

Identify the transformation from B to D.

a)

90o Clockwise Rotation

b)

180o Rotation

c)

270o clockwise Rotation

d)

360o Rotation

55.

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

56.

Triangle C is rotated 90° 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

57.

What is the image of point B (4, 9) after a dilation with a scale factor of 2?

a)

B' (2 , 4.5)

b)

B' (-8 , -18)

c)

B' (8 , 18)

d)

B' (9 , 4)

58.

What is the image of point A (3, 6) after a dilation with a scale factor of 5?

a)

(3, 6)

b)

(12, 6)

c)

(15, 30)

d)

(0.6, 1.2)

59.

What is the image of point G (-10,-6) after a dilation with a scale factor of 1/2 ?

a)

G' (5, 3)

b)

G' (20,12)

c)

G' (-20, -12)

d)

G' (-5, -3)

60.

What is the image of point B (-3, 0) after a dilation with a scale factor of 3?

a)

B' (-9, 0)

b)

B' (-1, 0)

c)

B' (3, 0)

d)

B' (0, 1)

61.

What is the image of point G (8, -4) after a dilation with a scale factor of 1/4.

a)

G' (32, -16)

b)

G' (2, -1)

c)

G' (-2, -1)

d)

G' (16, 32)

62.

Dilate point C by a scale factor of 1/2.

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

63.

Dilate point C by a scale factor of 4.

a)

(1.5, -0.75)

b)

(0, 12)

c)

(-8, -20)

d)

(24, -12)

64.

Dilate point B by a scale factor of 1/3.

a)

(0, 1)

b)

(-1, 0)

c)

(2, -1)

d)

(0, 9)

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.

Find the scale factor for the dilation.

a)

2

b)

3

c)

1/3

d)

1/2

68.

Find the scale factor for the dilation.

a)

2

b)

-2

c)

1/2

d)

1

69.

Find the scale factor for the dilation.

a)

3

b)

1/3

c)

1/2

d)

2

70.

Find the scale factor for the dilation.

a)

2

b)

1/2

c)

3/2

d)

2/3

71.

Find the scale factor for the dilation.

a)

1

b)

7

c)

18

d)

49

72.

Find the scale factor for the dilation.

a)

2.5

b)

1.5

c)

3.5

d)

4

73.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

74.

The point B (2, 1) was dilated to become point B' (6, 3). What was the scale factor?

a)

1/3

b)

2

c)

3

d)

1/2

75.

Does this dilation show a reduction or an enlargement?

a)

reduction

b)

enlargement

76.

Does the dilation show an enlargement or a reduction?

a)

reduction

b)

enlargement

77.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
78.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
79.
A dilation can produce a smaller figure or a(n)______
use a synonym for smaller
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
80.
 A dilation can produce a larger figure or a(n)______
use a synonym for larger
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation

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