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Worksheets

Transformations

Total questions: 36

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

Match the following graphs to their transformation.

a)

1.

Reflection across the y-axis

b)

2.

Translation using the rule (x+1,y-6)

c)

3.

Rotation 90 degrees counterclockwise

d)

4.

Reflection across the x-axis

e)

5.

Reflection across the line x = 7

2.

Identify the transformation that created W'X'Y'Z'(blue).

a)

Dilation by 1/4

b)

Dilation by 4

c)

Translation up 3

d)

Rotation 90 degrees clockwise

3.

Identify the transformation that maps CDEF onto C'D'E'F'.

a)

Rotation 180 degrees about the origin

b)

Reflection over y = x

c)

Rotation 90 degrees about the origin

d)

Reflection over y = -x

4.

Identify the transformation that created T'U'V'S'.

a)

Rotation 180 degrees about the origin

b)

Reflect over y = -x

c)

Reflect over y = x

5.

Identify the transformation that created G'H'F'(purple).

a)

Translation by the rule (x+4, y+3)

b)

Translation by the rule (x-4, y-3)

c)

Dilation by a scale factor of 1

d)

Dilation by a scale factor of 3

6.

Identify the transformation that created G'F'H'.

a)

Dilation by 3/2

b)

Dilation by 2/3

c)

Dilation by 3

d)

Dilation by 1/2

7.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
8.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
9.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
10.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
11.
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)
12.
When (3,-2) is reflected across the x-axis the resulting image point is:
a)
(-3,2)
b)
(-3,-2)
c)
(3,2)
d)
(6,-4)
13.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
14.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
15.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
16.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
17.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
18.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
19.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
20.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
21.

The image here best represents which of the following?

a)

Transformation

b)

Polygons

c)

Image

d)

Reflection

22.

The image here best represents which of the following?

a)

Rotation

b)

Translation

c)

Rigid Transformation

d)

Reflection

23.
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)
24.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
25.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
26.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
27.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

28.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
29.

Name that transformation!

a)

Reflection

b)

Dilation

c)

Translation

d)

Rotation

30.

Name that transformation!

a)

Reflection

b)

Dilation

c)

Translation

d)

Rotation

31.

What is the line of reflection?

a)

x=0x=0

b)

THIS IS THE CORRECT ONE, sorry I didn't teach you this. y=0y=0

c)

y=xy=x

d)

y=−xy=-x

32.
a)

reflection

b)

translation

c)

rotation

33.

Another name for slide is...

a)

translation

b)

reflection

c)

rotation

34.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?
a)
(-5, 5)
b)
(5, -5)
c)
(5, 10)
d)
(7.5, -2.5)
35.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
36.
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)

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