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Transformation Unit Review

Total questions: 48

Worksheet time: 2hrs 46mins

Name
Class
Date
1.

Which of the following transformations creates a figure that is similar (but not congruent) to the original figure?

a)

Translation

b)

Rotation

c)

Dilation

d)

Reflection

2.

Using words, describe the translation that would be made by the rule: (x, y) --> (x - 5, y + 4)

a)

5 units to the right, 4 units down

b)

5 units to the left, 4 units up

c)

4 units to the right, 5 units down

d)

4 units to the left, 5 units up

3.

Tell whether the state is always, sometimes, or never true. A congruence transformation changes the size of a figure.

a)

always

b)

sometimes

c)

never

4.

If the figure is reflected over the x-axis, what are the coordinates of K′?

a)

(0, 3)

b)

(0, -3)

c)

(3, 0)

d)

(-3, 0)

5.

If the figure is dilated using a scale factor of  12\frac{1}{2}   , what are the coordinates of L'?

a)

(2, 1)

b)

(2, -1)

c)

(8, 4)

d)

(-8, 4)

6.

Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point K after a dilation with a scale factor of 4?

a)

K' (8, 4)

b)

K' (8, -4)

c)

K' (4, 8)

d)

K' (-4, 8)

7.

Triangle MNP has vertices M(5, 4), N(5, 9), and P(–1, 4). What are the coordinates of the image of point P after the triangle is rotated 180° clockwise about the origin?

a)

P'(-4, 1)

b)

P'(1, -4)

c)

P'(-1, -4)

d)

P'(1, 4)

8.

If the figure is reflected over the y-axis, what are the coordinates of I'?

a)

(3, 1)

b)

(3, -1)

c)

(-3, -1)

d)

(-3, 1)

9.

The ordered pair R(–2, 7) is translated 5 units to the right and down 2 units. Which of the following describes the translation using translation notation?

a)

(x – 2, y + 5)

b)

(x + 2, y − 5)

c)

(x − 5, y + 2)

d)

(x + 5, y − 2)

10.

The length and width of a rectangle are 5 feet and 2 feet, respectively. A similar rectangle has a width of 8 feet. What is the length of the second rectangle?

*Might help to draw a picture

a)

8 ft.

b)

14 ft.

c)

16 ft.

d)

20 ft.

11.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
12.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
13.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
14.
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
15.
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)
16.
A transformation in which a graph or geometric figure is picked up and moved to another  location without any change in size or direction.
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
17.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
18.
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)
19.
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)
20.
Will the following transformations result in a congruent or similar figure?
1. Dilation with a scale factor of 1.5, center at (0,0)
2.Reflection over the x-axis
a)
Congruent
b)
Similar
21.
Will the following transformations result in a congruent or similar figure?
1. Reflection over the line x = -3
2. Rotation of 180 degrees, center at (4, 5)
a)
Congruent
b)
Similar
22.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
23.

Which is a dilation of 2?

a)
b)
c)
d)
24.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
25.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

26.
In which quadrant will the triangle be in after rotated 270 degrees clockwise?
a)
1
b)
2
c)
3
d)
4
27.
The shapes stay congruent when translating, rotating, and reflecting.
a)
True
b)
False
28.
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)
29.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
30.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

d)

Dilation

31.

What transformation is happening to the red triangle to get to the blue triangle?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

32.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
33.
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
34.

Triangle DEF has vertices D(2,0), E(1,-2), and F(2,1). The triangle is rotated 90˚clockwise about the origin.What are the coordinates of vertex F' ?

a)

(-2, -1)

b)

(-1, -2)

c)

(1, -2)

d)

(-2, 1)

35.

Which expression describes the translation of a point (-2, 6) to (3, -1) ?

a)

5 units right and 7 units up

b)

5 units left and 7 units down

c)

5 units left and 7 units up

d)

5 units right and 7 units down

36.

Define congruent figures

a)

two figures that are the same shape

b)

two figures that are the same size and the same shape

c)

two figures that are the same size

d)

two figures that are both rectangles

37.
Describe a sequence of transformations that maps figure A onto figure B.
a)
A translation 4 units right followed by a reflection across the x-axis
b)
A reflection across the x-axis followed by a reflection across the y-axis
c)
A reflection across the y-axis followed by a translation 6 units down
d)
A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis
38.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
39.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
40.
The rule for rotation of 180 degrees is  
(x, y) --> _
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(-y, -x)
41.

What does the rule f(x,y)=(x−6,y+4)f\left(x,y\right)=\left(x-6,y+4\right)  tell you to do? 

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

42.

Which written description matches the rule f(x,y)=(−x,y)f\left(x,y\right)=\left(-x,y\right)  

a)

Rotation 90 degrees ccw

b)

Rotation 270 degrees ccw

c)

Reflection over the x-axis

d)

Reflection over the y-axis

43.

Geometric Figures that have the same shape and size.

a)

Congruent

b)

Similar

44.
What is orientation?
a)
Same size, different shape
b)
Same size, same shape
c)
The way a figure is facing
d)
Flipping over a line
45.
Which of the following maintains orientation?
a)
Rotation 90 ° 
b)
Translation
c)
Rotation 180 ° 
d)
Reflection over the x axis
46.
(x,y) --> (x, -y)
a)
Reflection over the y-axis
b)
Reflection over the x-axis
c)
Translation 
d)
Rotation 180 ° 
47.
Chose the correct transformation:
(x, y) --> (-y, x)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation or 270 degree counter clockwise rotation
d)
90 degree counter clockwise rotation or 270 degree clockwise rotation
48.

The rule is an example of which transformation ?

a)

DILATION

b)

REFLECTION

c)

ROTATION

d)

TRANSLATION

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