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Worksheets

Transformations

Total questions: 57

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

What information do you need to translate an image?

a)

Reflection line

b)

Distance and reflection

c)

Distance and Direction

d)

Rotation degrees

2.

What information do you need to rotate an image?

a)

Center of rotation, reflection line, degrees

b)

Center of rotation, degree of rotation, direction

c)

Distance and Direction

d)

Reflection Line,CW, CCW

3.

What information do you need to reflect an image?

a)

Line of rotation

b)

Line of reflection

c)

Degree of reflection

d)

Counter clockwise

4.

Which way do you rotate if you turn to the right?

a)

Clockwise

b)

Counter-clockwise

c)

upside down

d)

flip-flop

5.

What is the proper term for rotating to the left?

a)

Clockwise

b)

Counter-clockwise

c)

Turn

d)

Spin

6.

If an image is 3 units away from the reflection line and the image is reflected over the line, how many units will the new image be from the reflection line?

a)

5 units

b)

4 units

c)

0 units

d)

3 units

7.

If an image is translated down 2 units and to the right 3 units, what would you need to do to get the image back in it's original position?

a)

Translate it to the left 3 units and up 2 units

b)

Translate it down 2 units and to the right 3 units

c)

Reflect it over the x-axis

d)

Rotate the image with the center as the origin

8.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
9.
What Transformation is visible?
a)
Reflection
b)
Translation
c)
Dilation
d)
Rotation
10.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Dilation
d)
Reflection
11.
What Transformation is visible?
a)
Dilation
b)
Translation
c)
Reflection
d)
Rotation
12.
What Transformation is visible?
a)
Reflection
b)
Rotation
c)
Dilation
d)
Translation
13.
Triangle ABC is going to be translated. How is ABC being translated if the rule (x,y) --> (x+3, y-2) is used?
a)
3 up and 2 left
b)
3 right and 2 down
c)
3 left and 2 up
d)
3 right and 2 up 
14.
Which answer represents a reflection across the x-axis, using the algebraic rule (x,y) --> (x, -y)?
a)
d
b)
c
c)
b
d)
a
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.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
17.
When you translate
(x-2 , y + 6) the figure will move _____.
a)
2 units right and 6 units right
b)
2 units left and 6 units down
c)
2 units left and 6 units up
d)
2 units left 6 units right
18.
How do you represent a translation Algebraically? 
a)
(-y, -x)
b)
(x + a, y + b)
c)
(-x , -y)
d)
(ax, by)
19.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
20.
Which rule would result in a reflection in the x-axis?
a)
(x, y) → (2x, 2y)
b)
x, y) → (x + 4, y + 4)
c)
(x, y) → (y, -x)
d)
(x, y) → (x, -y)
21.
How is triangle ABC being translated to triangle A'B'C'?
a)
(x, y) --> (x - 8, y + 3 )
b)
(x, y) -->(x - 4, y - 9) 
c)
(x, y) --> (x + 8, y - 3) 
d)
(x, y) --> (x+ 4, y - 9) 
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.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
24.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
25.
Reflections over the x-axis change the sign of the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
26.
Reflecting over the y-axis changes the sign of the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
27.
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)
28.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
29.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
30.
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
31.
Which figure is the image of MNOP rotated 2700?
a)
LVWC
b)
ABDE
c)
GHFJ
d)
MNOP
32.
A positive integer describes a translation moves... 
a)
down
b)
left
c)
up
33.
A positive integer describes a translation 
a)
down
b)
right
c)
left
34.
A negative integer describes a translation 
a)
up
b)
right
c)
left
35.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
36.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
37.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
38.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
39.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
40.

What is the rule for reflecting ( x , y )

over the line y = x?

a)

( -x , y )

b)

( x , -y )

c)

( y , x )

d)

( x , y )

41.

What is the rule for refelecting ( x , y )

over the y-axis?

a)

( -x , y )

b)

( x , -y )

c)

( y , x )

d)

( x , y )

42.
What is this transformation?
(x, y) ----> (-x, y) 
a)
Reflect over the x axis
b)
Reflect over the y-axis
c)
Slide down 1
d)
slide left 1
43.
Which coordinate rule correctly shows reflecting the original coordinate ( x , y ) over the x-axis?
a)
( -x , y )
b)
( x , -y )
c)
( y , x )
d)
( x , y )
44.

(x,y) maps onto which coordinates after reflection in the line y = -x?

a)

(-x,-y)

b)

(-y,-x)

c)

(y,x)

d)

(-y,x)

45.

Point B ( -6,1)

Reflected over the line y = -x?

a)

(-1,-6)

b)

(6,-1)

c)

(1,6)

d)

(-1,6)

46.
The rule for rotation of 180 degrees is  
(x, y) --> _
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(-y, -x)
47.
The rule for rotation of 90 degrees clockwise is  
(x, y) --> 
a)
(y, -x)
b)
(-y, x)
c)
(x, -y)
d)
(-x, y)
48.
The rule for rotation of 90 degrees counterclockwise is  
(x, y) --> _
a)
(y, -x)
b)
(-y, x)
c)
(x, -y)
d)
(-x, y)
49.
Which of the following maintains orientation?
a)
Rotation 90 ° 
b)
Translation
c)
Rotation 180 ° 
d)
Reflection over the x axis
50.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

51.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

52.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

53.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

54.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

55.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

56.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

57.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

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