wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Transformations Practice

Total questions: 42

Worksheet time: 3hrs 12mins

Name
Class
Date
1.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
2.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
3.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

4.
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)
5.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
6.
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
7.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
8.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

9.
Describe the transformation.
a)
translation: right 4 and up 6
b)
reflection across x=-2
c)
translation right 6 and down 1
d)
reflection across y=-2
10.
Describe the transformation.
a)
translation: right 3 and down 2
b)
felfection across y=-x
c)
rotation 180 degrees about the origin
d)
rotation 90 degrees clockwise about the origin
11.

Identify the correct picture which represents a 90o clockwise rotation about the origin.

a)
b)
c)
d)
12.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
13.

When you translate, (x-4 ,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

14.

When you translate, (x, y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

15.
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
16.

What is the ordered pair for C' if reflected over the y-axis?

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(3, 0)

17.
Determine how to translate triangle ABC to triangle A'B'C'. 
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
18.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
19.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
20.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
21.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
22.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
23.
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)
24.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
25.
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)
26.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
27.
What would the new point be if you rotated the point (3,-5) 270° clockwise?
a)
a.  (-3,-5) 
b)
b.  (-5,-3) 
c)
c.  (5,3)
28.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
29.

Which answer shows a reflection across the y=x?

a)
a
b)
b
c)
c
d)
d
30.

Which graph shows the pre-image reflected over x-axis?

a)
b)
c)
d)
31.

Above is shown a rotation from the blue to green images. A  \angle A\ \rightarrow\  _________

a)

I\angle I  

b)

K\angle K  

c)

L\angle L  

d)

D\angle D  

32.

Above is shown a rotation from the blue to green images. BC \overline{BC}\ \rightarrow  ___________

a)

CD\overline{CD}  

b)

KJ\overline{KJ}  

c)

IK\overline{IK}  

d)

JI\overline{JI}  

33.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
34.

The formula for reflecting over the line y=xy=-x  is...

a)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(x,-y\right)  

b)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)  

c)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,-x\right)  

d)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,y\right)  

35.

The formula for reflecting over the line y=xy=x  is...

a)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)  

b)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,x\right)  

c)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,-x\right)  

d)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,y\right)  

36.

Formula for a 90o90^o  rotation clockwise or 270o270^o  rotation counterclockwise.

a)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(x,-y\right)  

b)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,x\right)  

c)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,-x\right)  

d)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,-x\right)  

37.

Formula for a rotation 90o90^o  counterclockwise or 270o270^o  clockwise.

a)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,x\right)  

b)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,x\right)  

c)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)  

d)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,y\right)  

38.

Formula for a 180o180^o  degree rotation in either direction.

a)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,-x\right)  

b)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(y,x\right)  

c)

(x,y)(y,x)\left(x,y\right)\rightarrow\left(-y,x\right)  

d)

(x,y)(x,y)\left(x,y\right)\rightarrow\left(-x,-y\right)  

39.
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)
40.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
41.

The triangle is reflected over the line...

a)

y = 2

b)

x = 2

c)

y = 2x

d)

x-axis

42.

The triangle is reflected over the line...

a)

y = -4

b)

x= -4

c)

y = -4x

d)

y-axis