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Unit 9 Review

Total questions: 73

Worksheet time: 2hrs 28mins

Name
Class
Date
1.

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

2.

Translate shape B to shape A...

a)

5 Right

3 Up

b)

5 Left

3 Down

c)

3 Right

3 Up

d)

3 Left

3 Down

3.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
4.
The result of a transformation.
a)
Pre-image
b)
Image
5.
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)
6.
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)
7.
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)
8.

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

a)

x-coordinate

b)

y-coordinate

9.

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

a)

x-coordinate

b)

y-coordinate

10.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
11.

Determine how to translate triangle ABC to triangle A'B'C' ?

a)

(x + 2, y - 5)

b)

(x + 2, y - 9)

c)

(x - 2, y - 9)

d)

(x - 2, y + 9)

12.

What is the algebraic representation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) -->

(x - 9, y + 3)

b)

(x, y) -->

(x + 9, y - 3)

c)

(x, y) -->

(x + 3, y - 9)

d)

(x, y) -->

(9x, 3y)

13.
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
14.
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
a)
(-6, -1)
b)
(-13, 6)
c)
(-5, 6)
d)
(-6, 7)
15.

What does the word translation mean in math?

a)

To change an object by flipping it

b)

To change an object by turning it

c)

To change an objects by sliding it

16.

Select the picture showing a translation of:

4 squares right and 1 square up

a)
b)
c)
d)
17.

Select the picture which shows a translation:

4 squares right and 5 squares down

a)
b)
c)
d)
18.

What color is the pre-image?

a)

blue

b)

purple

19.

What color is the image?

a)

red

b)

blue

20.
Where would A' be if you translated A 3 units to the right and 4 units down?
a)
(-4, 4)
b)
(-1, 0)
c)
(0, -1)
21.
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
22.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
23.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
24.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
25.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
26.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
27.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
28.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
29.
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
30.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
31.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
32.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
33.
Relfect the image over the y-axis.  Which quadrants will the image be located in?
a)
Quadrant I and II
b)
Quadrant II and III
c)
Quadrant III and IV
d)
Quadrant I and IV
34.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
35.

How do you represent reflection over the x axis Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(x , -y)

d)

(ax, by)

36.

How many quadrants are there on a coordinate plane?

a)

1

b)

2

c)

3

d)

4

37.

How many degrees is a quadrant worth?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

38.

The clock is going in the __________ direction.

a)

Clockwise

b)

Counterclockwise

39.

The clock is going in the __________ direction.

a)

clockwise

b)

anti-clockwise

40.

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.


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

a)

(5,-5)

b)

(5,5)

c)

(-5,5)

d)

(-5,-5)

41.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.



Rule: (x, y) ---- ( -x, -y)

a)

(-4, -3)

b)

(-4, 3)

c)

(4, -3)

d)

(3, 4)

42.

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.


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

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

43.

Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.


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

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

44.

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)

45.

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

46.

A dilation always produces a congruent figure.

a)

True

b)

False

47.

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

a)

measure; shapes

b)

sizes; shapes

c)

value; measures

d)

shape; sizes

48.

Did the image enlarge, reduce or none of the above?

a)

Enlarge

b)

Reduce

c)

None of the above

49.

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

a)

Yes, enlarge

b)

Yes, reduce

c)

No

50.

Under a dilation, which scale factor will result in a congruent image?

a)

-2

b)

0

c)

1

d)

1/2

51.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

52.

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)

53.

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)

54.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90o clockwise, reflection over the x-axis

d)

Rotation 180o clockwise, reflection over the y-axis

55.
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.
56.
Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle  to maintain congruence with rectangle ABCD? 
a)
Translation 3 units left, then translation 7 units down. 
b)
Dilation by a scale factor of 3, then dilation by a scale factor of 3.
c)
Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.
d)
Translation 4 units right, then translation 6 units up. 
57.
Squares K and P are similar. Which series of transformations of square K show that K and P are similar?
a)
Rotation 90 degree, then dilation by a scale factor of 0.5.
b)
Rotation 45 degree, then dilation by a scale factor of 0.5.
c)
Reflection over a vertical axis, then dilation by a scale factor of 0.5.
d)
Reflection over a horizontal axis, then dilation by a scale factor of 0.5
58.
Figures ABC and DEF are similar.  Which series of transformations of figure ABC shows that ABC and DEF are Similar? 
a)
90 degree clockwise rotation, then dilation by a scale factor of ¾
b)
90 degree counterclockwise rotation, then dilation by a scale factor of ¾
c)
Reflection across a vertical line, then dilation by a scale factor of ¾
d)
Reflection across a horizontal line, then dilation by a scale factor of ¾
59.
Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?
a)
Translation 3 units up
b)
Translation 3 units down
c)
Dilation by a scale factor of 3
d)
Dilation by a scale factor of 1/3
60.

Which of the following describes the sequence of transformations shown?

a)

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

b)

Rotate 90 degrees cw 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 ccw about the origin.

61.
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)
62.

Which is an Example of a dilation

a)
b)
c)
d)
63.
Which rule shows the transformation?
a)
(x, y) ----> (0.5x, 0.5y)
b)
(x, y) ----> ( 2 + x, 2 + y)
c)
(x, y) -----> (2x, 2y)
d)
(x, y) -----> (3x, 3y)
64.

A figure has _______ symmetry when a line (or lines) divide the shape into two equal parts.

a)

Line

b)

Rotational

c)

Point

65.

Determine the angle of rotational symmetry for the figure.

a)

None

b)

60°

c)

120°

d)

180°

66.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
67.

Which of the following letters does not have line symmetry, but has point symmetry:

a)

H

b)

I

c)

Z

d)

X

68.

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

a)

Line

b)

Point

c)

Rotational

d)

None

69.

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

a)

Line

b)

Point

c)

Rotational

d)

None

70.

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

a)

Line

b)

Point

c)

Rotational

d)

None

71.

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

a)

Line

b)

Point

c)

Rotational

d)

None

72.

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

a)

Line

b)

Point

c)

Rotational

d)

None

73.

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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