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Transformations Quiz Review

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

a)

Triangle A'B'C' is an enlargement of triangle ABC

b)

Triangle A'B'C' is a reduction of triangle ABC

c)

Triangle A'B'C' is a mirror image of triangle ABC

2.

Which is true about the scale factor when a figure is enlarged?

a)

The scale factor is zero.

b)

The scale factor is 1.

c)

The scale factor is larger than 1.

d)

The scale factor is smaller than 1.

3.

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 nor a reduction

4.

A dilation always produces a congruent figure.

a)

True

b)

False

5.

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)

6.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

7.

The y-axis is...

a)

horizontal

b)

vertical

c)

diagonal

8.

If your SF=2.5, what type of dilation is it?

a)

reduction

b)

enlargement

9.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

10.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
11.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
12.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
13.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
14.

Is this an enlargement or a reduction?

a)

Enlargement

b)

Reduction

15.
Does the image show a dilation?
a)
Yes
b)
No
16.
Does the image show a Dilation?
a)
Yes
b)
No
17.

How many degrees is a quadrant worth?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

18.

The clock is going in the __________ direction.

a)

Clockwise

b)

Counterclockwise

19.

The clock is going in the __________ direction.

a)

clockwise

b)

anti-clockwise

20.

If you were to rotate ABCD 90°clockwise about the origin, what would the coordinate of A' be?


Rule: (x, y) ----- (y, -x)

a)

(-5, 5)

b)

(5, -3)

c)

(-5, 3)

d)

(-3, 3)

21.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

180⁰

c)

90⁰ clockwise

22.

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

23.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
24.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
25.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
26.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
27.

If I reflect ΔXYZ across the x-axis, what is the first step to drawing the reflection?

a)

Connect all of the dots

b)

Plot each new point the same number of units from the line of reflection

c)

Count the number of units each point is from the line of reflection

28.

Which two triangles are reflections of each other across the x-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

29.

Which two triangles are reflections of each other across the y-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

30.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

31.

What axis is the image reflected over?

a)

X-axis

b)

Y-axis

32.

Quadrilateral J is reflected over the x-axis. What is the image of the reflection?

a)

F

b)

G

c)

H

d)

Not shown

33.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
34.
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
35.
What is the rule for the following reflection? 
a)
Reflection across       y = 3
b)
Reflection across        x = −3
c)
Reflection across            x = 3
d)
Reflection across          y = −3
36.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

37.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
38.
The result of a transformation.
a)
Pre-image
b)
Image
39.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
40.
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)
41.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
42.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

43.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

44.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
45.
When Translating an image, if you move a figure down, you will have _____ a number.
a)
y +
b)
y -
c)
x +
d)
x -
46.
When Translating an image, if you move a figure to the right , you will have _____ a number.
a)
x +
b)
x -
c)
y +
d)
y -
47.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
48.

Translations are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Similar

49.
What is the algebraic notation of a figure is Translated 6 units right and 5 units up?
a)
(x, y) --> (x - 6, y + 5)
b)
(x, y) --> (x + 6, y + 5)
c)
(x, y) --> (x + 5, y - 6)
d)
(x, y) --> (6x, 5y)
50.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

51.

Reflections are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Similar

52.

State the line of reflection

a)

x = - 2

b)

y axis

c)

y = 2

d)

y = - 2

e)

x = 2

53.

A rotation will always result in a similar transformation.

a)

False

b)

True

54.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

55.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

56.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

57.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

58.
What is the sequence of transformations?
a)
Reflect over the y-axis then reflect over the x-axis
b)
Reflect over the x-axis then reflect over the y-axis
c)
Translate 4 units then rotate 90˚ counter-clockwise about the origin
d)
Rotate 90˚ counter-clockwise about the origin then reflect over the x
59.
Which of the statements is true about the graphed triangles?
a)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
b)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
c)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
d)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
60.

Identify the sequences of transformations from the red image to the blue image to the green image.

a)

translation then translation

b)

rotation then reflection

c)

rotation then rotation

d)

reflection then translation

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