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Worksheets

Transformations

Total questions: 22

Worksheet time: 29mins

Name
Class
Date
1.

Describe the transformation:

(x, y) -> (x+3, y)

a)

Translation 3 units to the left

b)

Translation 3 units up

c)

Translation 3 units to the right

d)

Translation 3 units down

2.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

3.

Describe the transformation:

(x, y) -> (x, -y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

4.

Describe the transformation:

(x, y) -> (-x, y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

5.

A mirror image of a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

6.
The 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)
7.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
8.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
9.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
10.

What is the angle of rotation for this clockwise rotation about the origin?

a)
90°
b)
180°
c)
270°
d)
360°
11.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
12.
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
13.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees 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 about the origin.
14.

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis

a)

(3,1)

b)

(3, -1)

c)

(-1, 5)

d)

(-1, 3)

15.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

16.
Determine where X' would be if you translated 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
17.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
18.

What is the component notation (vector) for this translation?

a)

<3, -4>

b)

(x - 4, y + 3)

c)

Left 4, Up 3

d)

<-4, 3>

19.
Find the image of A after a translation of <- 2, - 6>.
a)
B
b)
E
c)
D
d)
C
20.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Congruent

c)

Transformation

d)

Similar

21.

How would you translate point P to P'?

a)

Translate 2 units to the right and 8 units down

b)

Translate 3 units down and 2 units to the right

c)

Translate 8 units to the right and 2 units down

d)

Translate 4 units down and 4 units to the left

22.
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)