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Topic 3 Semester Exam Review

Total questions: 240

Worksheet time: 9hrs 7mins

Name
Class
Date
1.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
2.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
3.
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
4.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
5.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
6.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
7.
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
8.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(  4,  5)
b)
( -2  , -5)
c)
( 2  ,  5)
d)
(2   , -5)
9.
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
10.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
11.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
12.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
13.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
14.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
15.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
16.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
17.
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
18.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
19.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
20.
Which letter represents the first number in an ordered pair? 
a)
X
b)
Y
c)
T
d)
G
21.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
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.
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)
24.

True or False: When a point is reflected across a line of symmetry, it remains the same distance from that line.

a)

True

b)

False

25.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the x-axis, what will Q' be?

a)

Q'(4, 2)

b)

Q'(-4, 2)

c)

Q'(-4, -2)

d)

Q'(4, -2)

26.

Level 1: What is this transformation?

(x, y) →(-x, y)

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Slide down 1

d)

slide left 1

27.

Triangle XYZ is reflected across the y-axis. If (x,y) are the coordinates of one of its vertices, which ordered pair represents the reflected vertex?

a)

(-x, y)

b)

(y, -x)

c)

(x, -y)

d)

(-y, x)

28.

What changes when an ordered pair, or point, is reflected across the y-axis?

a)

Neither the x-value nor the y-value

b)

y-value only

c)

x-value only

d)

Both the x-value and the y-value

29.

What is the Algebraic Notation for this Reflection? #6

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

30.

What is the rule for the reflection over the line y=x?

a)

ry=x(x, y) → (–y, –x)

b)

ry=–x(x, y) → (–y, –x)

c)

ry=x(x, y) → (y, x)

d)

ry=–x(x, y) → (y, x)

31.

What are the coordinates of the image of vertex G after a reflection across the line y = x?

a)

(–4, –5)

b)

(4, 5)

c)

(–5, 4)

d)

(5, –4)

32.

What are the coordinates of the image of vertex F after a reflection across the line y = –x?

a)

(–1, –3)

b)

(3, –1)

c)

(1, 3)

d)

(–3, 1)

33.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
34.

Identify the transformation from ABC to A'B'C'.

a)

90o counterclockwise rotation

b)

Reflection across the x-axis

c)

Translation

d)

90o clockwise rotation

35.
What is this transformation?
(x, y) ----> (-x, y) 
a)
Reflect over the x axis
b)
Reflect over the y-axis
c)
Slide down 1
d)
slide left 1
36.
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)
37.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
38.
Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'? 
a)
(5, 4)
b)
(-5, -4)
c)
(5, -4)
d)
(-5, 4) 
39.

Reflections over the x-axis change the __________.

a)

y-coordinate

b)

x-coordinate

40.

The point (-2,5) is reflected over the line x = 1. Find its image.

a)

(4, 5)

b)

( -2 , -5)

c)

(2 , 5)

d)

(2 , -5)

41.

What is the rule for the following reflection?

a)

Reflection across x-axis

b)

Reflection across y-axis

c)

Reflection across y = x

d)

Reflection across y = −x

42.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
43.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
44.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
45.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
46.

True or False: Rigid motions preserve angle measure.

a)

True

b)

False

47.

True or False: Rigid motions preserve segment length.

a)

True

b)

False

48.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
49.
The result of a transformation.
a)
Pre-image
b)
Image
50.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
51.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
52.
How would you translate point P to P'?
a)
Translate 2 units to the right and  8 units down
b)
Translate 3 units down and 2 units to the right
c)
Translate 4 units down and 4 units to the left
d)
Translate 8 units to the right and 2 units down
53.
How do you represent a translation Algebraically? 
a)
(-y, -x)
b)
(x + a, y + b)
c)
(-x , -y)
d)
(ax, by)
54.
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
55.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
56.

What vector translates triangle ABC to A’B’C’?

a)

<-5, 1>

b)

<5, -1>

c)

<-6, 2>

d)

<6, -2>

57.

The image of point (2, 8) when translated using the rule (x, y) → (x, y-1) is:

a)

(2, 7)

b)

(1, 8)

c)

(1, 7)

d)

(0, 7)

58.

What are the coordinates of R', the image of R(-1, 4), after a translation of 2 units right and 3 units down?

a)

(-3, 1)

b)

(3, 7)

c)

(-1, 7)

d)

(1, 1)

59.

When a shape is translated in the coordinate plane, it has undergone a rigid transformation. Which of the following are definitely true statements about the image of a shape after a translation? Select all that apply.

a)

The size of the shape is the same.

b)

The orientation of the shape is the same.

c)

A translation is in simple terms a flip.

d)

Each point moves the same distance in the same direction.

60.

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

61.

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

62.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
63.
The result of a transformation.
a)
Pre-image
b)
Image
64.
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)
65.
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)
66.
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)
67.

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

a)

x-coordinate

b)

y-coordinate

68.

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

a)

x-coordinate

b)

y-coordinate

69.
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
70.

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)

71.

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)

72.
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
73.
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)
74.

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

75.

Select the picture showing a translation of:

4 squares right and 1 square up

a)
b)
c)
d)
76.

Select the picture which shows a translation:

4 squares right and 5 squares down

a)
b)
c)
d)
77.

What color is the pre-image?

a)

blue

b)

purple

78.

What color is the image?

a)

red

b)

blue

79.
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)
80.

What is another name for a translation?

a)

Slide

b)

Flip

c)

Mirror

d)
Dilation
81.
What is the algebraic notation 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)
82.
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)
83.
What is the algebraic notation of a figure is Translated 8 units left and 2 units up?
a)
(x, y) --> (x - 8, y + 2)
b)
(x, y) --> (x + 8, y - 2)
c)
(x, y) --> (x + 2, y - 8)
d)
(x, y) --> (8x, 2y)
84.
What is the algebraic notation of a figure is Translated 2 units right and 5 units up?
a)
(x, y) --> (x - 2, y - 5)
b)
(x, y) --> (x + 2, y + 5)
c)
(x, y) --> (x + 5, y - 2)
d)
(x, y) --> (5x, 2y)
85.

Select the picture showing a translation of:

2 squares right and 1 square up

a)
b)
c)
d)
86.

Select the picture showing a translation of:

4 squares right and 1 square up

a)
b)
c)
d)
87.

Select the picture which shows a translation:

4 squares right and 5 squares down

a)
b)
c)
d)
88.

Find the image of  P(3, 4)P\left(3,\ 4\right)  after the composition of translations  (x, y)→(x+1, y−2)\left(x,\ y\right)\rightarrow\left(x+1,\ y-2\right)  and   (x, y)→(x−5, y+1)\left(x,\ y\right)\rightarrow\left(x-5,\ y+1\right)  .

a)

(−2, 5)\left(-2,\ 5\right)  

b)

(4, 2)\left(4,\ 2\right)  

c)

(−1, 3)\left(-1,\ 3\right)  

d)

(2, 6)\left(2,\ 6\right)  

89.

Find the image of  D(0, −2)D\left(0,\ -2\right)  after the composition of translations  (x, y)→(x+10, y−8)\left(x,\ y\right)\rightarrow\left(x+10,\ y-8\right)  and   (x, y)→(x−7, y+15)\left(x,\ y\right)\rightarrow\left(x-7,\ y+15\right)  .

a)

(3, 5)\left(3,\ 5\right)  

b)

(10, −10)\left(10,\ -10\right)  

c)

(−7, 13)\left(-7,\ 13\right)  

d)

(−4, 8)\left(-4,\ 8\right)  

90.

WRITE A TRANSLATION RULE FOR THE IMAGE.

a)

(x + 3, y - 1)

b)

(x - 3, y + 1)

c)

(x + 2, y + 1)

d)

(x + 5, y + 3)

91.

How can this transformation be represented algebraically?

a)

(x, y) → (-x, y)

b)

(x, y) → (7x, 3y)

c)

(x, y) → (x + 7, y -3)

d)

(x, y) → (x - 7, y + 3)

92.

D(3, 4) and D'(5, -13) are the pre-image and image of a given triangle. What is the translation?

a)

(x, y) → (x-2, y+13)

b)

(x, y) → (x+2, y-13)

c)

(x, y) → (x+2, y-17)

d)

(x, y) → (x-2, y+17)

93.
In the translation shown the image is moved _______________.
a)
left 5
b)
right 5
c)
up 5
d)
down 5
94.

Square ABCD is translated by the rule (x, y) → (x – 3, y + 1). What are the coordinates of D′?


Point D is (1,3)

a)

(–2, 4)

b)

(4, 2)

c)

(0, 0)

d)

(–3, 4)

95.

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

a)

P′ (1, −6), Q′ (4, −6), R′ (6, −8)

b)

P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)

c)

P′ (5, −2), Q′ (8, −2), R′ (10, −4)

d)

P′ (−1, 4), Q′ (2, 4), R′ (4, 2)

96.
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)
97.

What is the image for the point (5, 5) and the rule (x, y) → (x + 2, y-3)?

a)

(7, 2)

b)

(7, -4)

c)

(3, 2)

98.

Identify the transformation FROM Δ ABC

TO Δ A'B'C'.

a)

right 8 up 4

b)

left 4 down 4

c)

right 4 up 4

99.

What is the translation rule?

a)

(x, y) →(x - 4, y + 5)

b)

(x, y) →(x + 5, y - 4)

c)

(x, y) →(x + 4, y - 5)

d)

(x, y) →(x - 4, y - 5)

100.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

101.

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

102.

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)

103.

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?


HINT: DO THE OPPOSITE OPERATION OF THE RULE

a)

(13, –23)

b)

(5, 7)

c)

(18, 1)

d)

(–6, –4)

104.

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are

(–9, 2), what are the coordinates of F'?

a)

(–17, 5)

b)

(–6, –6)

c)

(–17, –1)

d)

(–12, –6)

105.

Rectangle ABCD has vertices A(–6, –2), B(–3, –2),

C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),

C’(–7, –3), and D’(–10, –3).

a)

(x, y) →(x–4, y+3)

b)

(x, y) →(x–4, y+1)

c)

(x, y) →(x+4, y–1)

d)

(x, y) →(x+4, y–3)

106.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) → (x - 7, y + 4)

b)

(x, y) → (x + 7, y - 4)

c)

(x, y) → (x + 4, y + 7)

d)

(x, y) →(4x, 7y)

107.

Triangle ABC has vertices at A(6, 1) B(1, 7) and C(-3, -2). The translation to create triangle A'B'C' is (x, y)(x, y) → (x - 1, y + 2). Which will be the coordinates of triangle A'B'C'?

a)

A'(5, 2), B'(0, -4), C'(0, 9)

b)

A'(5, 3), B'(0, -4), C'(0, 8)

c)

A'(5, 3), B'(0, 9), C'(-4, 0)

d)

A'(5, 2), B'(1, -3), C'(0, 9)

108.

What is the image of the point (3, 3) under the translation (x, y)→(x+1, y−4)\left(x,\ y\right)\rightarrow\left(x+1,\ y-4\right)  ?

a)

(4, -1)

b)

(2, 7)

c)

(-1, 4)

d)

(7, 2)

109.

What is the translation rule that maps the point P (4, 1) to the point P' (-3, -5)?

a)

(x, y)→(x − 7, y −6)\left(x,\ y\right)\rightarrow\left(x\ -\ 7,\ y\ -6\right)  

b)

(x, y)→(x +7, y + 6)\left(x,\ y\right)\rightarrow\left(x\ +7,\ y\ +\ 6\right)  

c)

(x, y) → (x−1, y + 4)\left(x,\ y\right)\ \rightarrow\ \left(x-1,\ y\ +\ 4\right)  

d)

(x, y) → (x+1, y −4)\left(x,\ y\right)\ \rightarrow\ \left(x+1,\ y\ -4\right)  

110.

What is the translation rule that maps the point P (1, -1) to the point P' (-1, 5)?

a)

(x, y)→(x − 2, y +6)\left(x,\ y\right)\rightarrow\left(x\ -\ 2,\ y\ +6\right)  

b)

(x, y)→(x +2, y − 6)\left(x,\ y\right)\rightarrow\left(x\ +2,\ y\ -\ 6\right)  

c)

(x, y) → (x−2, y + 4)\left(x,\ y\right)\ \rightarrow\ \left(x-2,\ y\ +\ 4\right)  

d)

(x, y) → (x+1, y −4)\left(x,\ y\right)\ \rightarrow\ \left(x+1,\ y\ -4\right)  

111.

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

a)

(x - 9 , y + 2)

b)

(x + 2, y - 9)

c)

(x - 2, y + 5)

d)

(x - 2, y + 9)

112.

Which direction is the resultant translation?

a)

up

b)

down

c)

left

d)

right

113.

What is the magnitude of the resultant translation?

a)

2.5

b)

5

c)

10

d)

20

114.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
115.
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)
116.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
117.
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)
118.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
119.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
120.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
121.
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
122.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-y,x)
d)
(x,y)→(-x,-y)
123.
Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
124.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
125.
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)
126.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
127.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
128.
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
129.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-y,x)
d)
(x,y)→(-x,-y)
130.
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)
131.
Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
132.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
d)
90 degrees clockwise
133.
The new figure created from a transformation is... 
a)
Congruent 
b)
Preimage 
c)
Image 
d)
Angle 
134.
The name of the figure before the rotation is... 
a)
Congruent 
b)
Preimage 
c)
Image 
d)
The Before
135.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
136.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

137.
Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-x,-y)
d)
(x,y)→(-y,x)
138.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

139.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

140.

Rotation Rules (clockwise):

270o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

141.

Does the image show a rotation? If so, what is the angle of rotation?

a)

90° counterclockwise

b)

180° counterclockwise

c)

270° counterclockwise

d)

Not a rotation

142.

Does this image show a rotation? If so, what is the angle of rotation?

a)

90° counterclockwise

b)

180° counterclockwise

c)

270° counterclockwise

d)

Not a rotation

143.
Identify the rule after a 90° counter clockwise rotation:
(x, y) ---> ___________
a)
( y, -x)
b)
( -y, x)
c)
( -x, -y)
d)
( y, -x)
144.
Identify the rule after a 90° CLOCKWISE rotation:
(x, y) ---> ___________
a)
( x, -y)
b)
( y , -x)
c)
( -y, x)
d)
( -x, -y)
145.
Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________
a)
( -x, -y)
b)
( -y, x)
c)
( -x, y)
d)
(y, -x)
146.
Identify the rule after a 270° CLOCKWISE rotation:
(x, y) ---> ___________
a)
(y, -x)
b)
( -x, -y)
c)
(-y, x)
d)
( y, x)
147.
Identify the rule after a 270° COUNTER CLOCKWISE rotation:(x, y) ---> ___________
a)
( y, x)
b)
( y, -x)
c)
( -x, -y)
d)
( x, y)
148.
The red triangle represents what type of rotation:
a)
180° Clockwise
b)
90° Clockwise
c)
90° Counter Clockwise
d)
270° Clockwise
149.
The red triangle represents what type of rotation:
a)
180° Clockwise
b)
90° Counter Clockwise
c)
90° Clockwise
d)
270° Counter Clockwise
150.
The red triangle represents what type of rotation:
a)
180° Clockwise or counter clockwise
b)
90° clockwise
c)
90° counter clockwise
151.
The red triangle represents what type of rotation:
a)
90° clockwise
b)
90° counter clockwise
c)
180° counter or clockwise
152.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
153.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
154.
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
155.
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)
156.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
d)
90 degrees clockwise
157.
Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
158.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

159.

If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

160.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

161.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

162.

A double reflection over the x- and y-axes is the same as a ____________ of ______.

a)

Rotation of 180 Degrees

b)

Rotation of 90 Degrees

c)

Reflection over the x-axis

d)

Reflection over the y-axis

163.
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
164.

A transformation in which a second transformation is performed on a image of a first transformation is called

a)

composition of transformation

b)

translation

c)

rigid motion

d)

reflection

165.
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)
166.
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
167.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
168.

What axis is the triangle being reflected over?

a)

X-axis

b)

Y-axis

169.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
170.
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
171.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
172.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
173.
Triangle C is rotated 270° counterclockwise 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
174.

Identify the transformation:

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

175.

Point A is rotated 180 degrees and then flipped over the y-axis. What is A" if A is (2,7)

a)

(2,7)

b)

(-2, -7)

c)

(-2, 7)

d)

(2, -7)

176.

Find Q''' if Q(-3, 1) is reflected over the x-axis, then rotated 90 degrees, and then translated right 3 and up 4.

a)

(-3, 1)

b)

(4, 1)

c)

(4, -1)

d)

(-3,-1)

177.

Triangle ABC is rotated 90 degrees and then translated up 4 and left 5. What is point A if point A''' is (1,2)?

a)

(2, -4)

b)

(2,6)

c)

(4, -2)

d)

(-2 -6)

178.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
179.
What are the series of rigid motions that would map ∆ABC onto ∆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
180.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees 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 about the origin.
181.

Identify the transformations:

a)

translation and rotation

b)

translation and reflection

c)

rotation and reflection

d)

translation and dilation

e)

two translations

182.

What transformation gets you from Triangle ABC to Triangle A"B"C"?

(a)  

183.

How do you get from the red triangle to the orange triangle?

a)

reflection over the y-axis and then the x-axis

b)

rotate 270 degrees and reflect over y = 2

c)

reflection over the y-axis and translate up 7

d)

rotate 180 degrees and reflect over y = 2

e)

translate up 7, translate right 6, and then reflect over the x-axis

184.

How do you get from the green triangle to the orange triangle?

a)

rotate clockwise 90 degrees

b)

rotate counterclockwise 180 degrees

c)

translate right 11 and up 9, then translate down 3 and left 2

d)

translate right 12 and up 4

e)

reflect over the y-axis then the x-axis

185.

How do you get from the blue triangle to the red triangle?

a)

reflection over y = 2, translate right 5

b)

rotate 180 degrees

c)

rotate 270 degrees

d)

translate right 5 and reflect over the y-axis

e)

do the cha cha slide

186.

Is the diagram an example of a glide reflection?

a)

Yes, the direction of the translation is parallel to the line of reflection.

b)

No, the direction of the translation is not parallel to the line of reflection.

187.

Which of the following is the correct sequence of transformations that maps triangle ABC onto triangle DEF?  

a)

A reflection over the x-axis followed by a translation moving up. 

b)

A reflection over the y-axis followed by a translation moving up . 

c)

A reflection through the origin followed by a translation moving down. 

d)

A translation moving down followed by a reflection over the y-axis. 

188.

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

a)

a reflection followed by a translation

b)

a rotation followed by a translation

c)

a translation followed by a reflection

d)

a translation followed by a rotation

189.

Which sequence of transformations maps triangle ABC onto triangle DEF?

a)

a reflection over the y-axis followed by a reflection over the x-axis

b)

a 180 degree rotation about the origin followed by a reflection over the line y=2

c)

a 90 degree clockwise rotation about the origin followed by a reflection over the line y=x

d)

a translation 8 units to the right and 1 unit up followed by a 90 degree counterclockwise rotation about the origin

190.

Is the diagram shown a representation of a glide reflection?

ΔABC≅ΔDEF\Delta ABC\cong\Delta DEF  

(*hint* - rename one of the triangles as A'B'C' or D'E'F')

a)

yes

b)

no

191.

Given  ΔABC≅ΔRST\Delta ABC\cong\Delta RST .  Is the mapping considered a glide reflection?  

a)

yes

b)

no

192.

What are the coordinates of B' after a reflection over the x-axis then (x,y)->(x+1,y+2). Show all of your work. Label the points.

a)

(5, -2)

b)

(4, -4)

c)

Off the graph

d)

(-4, 4)

193.

Find the image of A( -3, 5) after translating (x,y) --> (x , y - 4) then reflecting across the y-axis. Show your work on the graph. Label each point.

a)

(3,1)

b)

(3, -1)

c)

(-1, 5)

d)

(-1, 3)

194.

What would the coordinate of A" be after being reflected over the x-axis then (x,y)->(x + 3, y + 2)?

a)
(-5, 5)
b)

(-3, 6)

c)

(-6, 3)

d)

(6, -3)

195.

Name the series of transformations that maps ABC onto DEF.

a)
reflect over x then translate left 6 up 1
b)
reflect over y then translate down 6 left 1
c)
translate right 6 down 1, then reflect over x
d)
rotate 90 clockwise then reflect over y
196.

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the transformation T(2, -1) o ry-axis ?

a)

(3, 1), (-1, -7), (6, -6)

b)

(3, -3), (-1, 5), (6, 4)

c)

(1, -3), (5, 5), (-2, 4)

d)

(-1, -2), (3, 6), (-4, 5)

197.
Which would be the correct notation for the composition of transformations from blue to red to green?
a)
T<-4,0> o Ry axis 
b)
T<0,-4> o Ry axis 
c)
 Ry axis o T<0,-4> 
d)
 Rx axis o Ry axis 
198.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(  4,  5)
b)
( -2  , -5)
c)
( 2  ,  5)
d)
(2   , -5)
199.

A double reflection over two parallel line results in a ____________.

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

200.

A double reflection over the x- and y-axes is the same as a ____________ of ______.

a)

Rotation of 180 Degrees

b)

Rotation of 90 Degrees

c)

Reflection over the x-axis

d)

Reflection over the y-axis

201.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
202.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
203.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
204.

How many lines of symmetry does a square have?

a)

1

b)

2

c)

4

d)

8

205.
How many lines of symmetry does the picture have (equilateral triangle)? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
3 lines of symmetry
206.

Which of the following shapes show a line of symmetry?

a)
b)
c)
207.
Identify the smallest angle of rotation that maps the image to itself.
a)
180°
b)
360°
c)
90°
d)
No rotational symmetry
208.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 36 degrees counterclockwise

b)

Rotation of 120 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Reflection across  l\ l

209.
Identify the smallest angle of rotation that maps the image to itself.
a)
90°
b)
180°
c)
45°
d)
60°
210.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
211.

Which letter has ONLY rotational symmetry?

a)
b)
c)
d)
212.

What type of symmetry do all 3 images have in common?

a)

rotational

b)

reflectional

c)

both

d)

neither

213.

How many lines of symmetry does a circle have?

a)

0

b)

1

c)

infinitely many

d)

2

214.

Which of the following shapes does not have a line of symmetry?

a)
b)
c)
d)
215.

What kind of symmetry does this figure have?

a)

Reflectional

b)

Rotational

c)

Both

d)

Neither

216.

How many lines of reflection does this image have?

a)

0

b)

1

c)

2

d)

4

217.

What is the angle of rotation?

a)

60 degrees

b)

36 degrees

c)

10degrees

d)

The shape does not have rotational symmetry

218.

What is the angle of rotation?

a)

40 degrees

b)

90 degrees

c)

180 degrees

d)

none

219.

What is the angle of rotation?

a)

60 degrees

b)

90 degrees

c)

120 degrees

d)

180 degrees

220.

What is the angle of rotation?

a)

120 degrees

b)

30 degrees

c)

60 degrees

d)

180 degrees

221.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
222.
Does the picture have rotational symmetry?
a)
Yes
b)
No
223.

What is the angle of rotational symmetry?

a)

360°

b)

180°

c)

120°

d)

90°

224.
How many shapes have MORE THAN ONE line of symmetry?
a)
6
b)
3
c)
4
d)
2
225.
Does this image have a line of symmetry?
a)
Yes
b)
No
226.
How many lines of symmetry does the picture have? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
3 lines of symmetry
227.

How many lines of symmetry does a circle have?

a)

0

b)

1

c)

infinitely many

d)

2

228.

Which of the following shapes does not have a line of symmetry?

a)
b)
c)
d)
229.
Which of the following letters does not have a line symmetry?
a)
H
b)
I
c)
Z
d)
X
230.
How many lines of symmetry does this trapezoid have?
a)
0
b)
1
c)
2
d)
3
231.

How many lines of symmetry does a square have?

a)

1

b)

2

c)

4

d)

8

232.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
233.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 45 degrees counterclockwise

b)

Rotation of 60 degrees clockwise

c)

Rotation of 60 degrees counterclockwise

d)

Rotation of 36 degrees counterclockwise

234.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 45 degrees counterclockwise

b)

Rotation of 72 degrees counterclockwise

c)

Rotation of 60 degrees counterclockwise

d)

Reflection across  l\ l

235.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

236.
Which shape does NOT have rotational symmetry?
a)
A
b)
B
c)
C
d)
D
237.

How many lines of symmetry are there on an equilateral triangle?

a)

0

b)

1

c)

2

d)

3

238.

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

a)

Line

b)

Rotational

c)

Point

239.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
240.
a)

is symmetrical

b)

not symmetrical

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