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Transformation Review #2

Total questions: 54

Worksheet time: 9hrs 0mins

Name
Class
Date
1.

Similar figures have two properties. What is the relationship between the corresponding angles? What is the relationship between the corresponding sides?

4 lines
2.
a)
8
b)
10
c)
14
d)
12
3.
All angles in similar figures are congruent.  
a)
True
b)
False
4.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
5.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
6.
Solve for x.
a)
100
b)
143
c)
4
d)
95
7.
Click to see image.
a)
A
b)
B
c)
C
d)
D
8.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
9.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
10.

What would the coordinates of A' be when A is reflected over the line where y = -2 ?

a)

(-4, 6)

b)

(-4, -6)

c)

(-4, -2)

d)

(-4, 2)

11.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
12.
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)
13.
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)
14.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
15.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
16.
The new figure created from a transformation is... 
a)
Congruent 
b)
Preimage 
c)
Image 
d)
Angle 
17.

The name of the figure before a transformation is... 

a)
Congruent 
b)
Preimage 
c)
Image 
d)
The Before
18.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
19.
Which notation describes the translation that moves FIGURE 2 to FIGURE 3 on the coordinate plane?
a)
(x,y)→(x + 4,y + 1)
b)
(x,y)→(x + 3,y – 1)
c)
(x,y)→(x – 4,y + 1)
d)
(x,y)→(x – 4,y – 2)
20.
You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________
a)
x = -4
b)
y = -4
c)
x - y = 4
d)
None of these
21.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
22.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
23.

Using the y-axis as the line of reflection, is this correct?

a)

Yes

b)

No

24.

What is the line of reflection for this transformation?

a)

y=4

b)

x=-3

c)

y=x

d)

y= -x

25.

What shape is the reflection from shape E in the x-axis?

a)

A

b)

C

c)

B

26.

What would the cooordinates of B' be after B is reflected over the line where x = -4 ?

a)

(-9, 2)

b)

(1, -2))

c)

(-1, 2)

d)

(-4, 2)

27.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
28.

A dilation produces a congruent figure

a)

True

b)

False

29.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
30.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
31.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
32.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
33.

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)

34.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
35.
A dilation always produces a congruent figure.
a)
True
b)
False
36.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
37.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
38.
What scale factor was used to produce the image?
a)
2
b)
3
c)
1/3
d)
1/2
39.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
40.
What scale factor was used to produce the image?
a)
2.5
b)
1.5
c)
3.5
d)
4
41.
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
42.
A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this? 
a)
dilation
b)
translation
c)
rotation
d)
reflection
43.
How is triangle ABC being translated to triangle A'B'C'?
a)

T(-8. 3)

b)

T(-4,9)

c)

T(8,-3)

d)

T(4, -9)

44.
In the translation shown the image is moved _______________.
a)
left 5
b)
right 5
c)
up 5
d)
down 5
45.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
46.

Triangle A'B'C' is the image of triangle ABC under T(-1 , 2). What are the coordinates of triangle A'B'C' if triangle ABC has vertices at A(6, 1)    B(1, 7)   and C(-3, -2).

a)
(5, 2)   (0, -4)   (0, 9)
b)
(5, 3)   (0, -4)   (0, 8)
c)
(5, 3)   (0, 9)   (-4, 0)
d)
(5, 2)   (1, -3)   (0, 9)
47.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
48.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
49.

Which correctly describes the two transformations that were used to create the image on the graph?

a)

Reflection over the y-axia and a rotation 90o counter clockwise

b)

(x+10, y) and reflection over x-axis

c)

Rotation 90o clockwise and a reflection over the x-axis

d)

Reflection over the x-axis ad a translation (x+6,y)

50.

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

51.

Point A is (-3, 2). What is A' when it reflected over the line y = x?

a)

(2, 3)

b)

(3, -2)

c)

(2, -3)

d)

(-2, 3)

52.
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
53.

Describe the series of transformations that map ABC onto A"B"C"

a)
translate 5 up and 1 left then reflect over y
b)
translate 5 down and 1 left, then reflect over y
c)
reflect over y=x then translate left 8
d)
reflect over x then rotate 90 clockwise
54.

What would the coordinates be for O' be when reflecting MNOP over the line where y = -2 ?

a)

(0, 4)

b)

(-4, -4)

c)

(-4, -8)

d)

(-4, -1)

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