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WorksheetsTransformations Test Review
Total questions: 60
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
a)
1
b)
2
c)
3
d)
4
2.
a)
1
b)
2
c)
3
d)
4
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.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
6.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
7.
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.
8.
What is a translation?
a)
When you turn an object around a point.
b)
When you slide an object from one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
9.
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)
10.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
11.
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
(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
12.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?
a)
(6, 3)
b)
(7, 3)
c)
(7, 1)
d)
(5, 3)
13.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
14.
If I rotate a trapezoid
90⁰ clockwise,
and its in quadrant III (3),
which quadrant would it move to?
90⁰ clockwise,
and its in quadrant III (3),
which quadrant would it move to?
a)
Quadrant 1 (I)
b)
Quadrant 2 (II)
c)
Quadrant 3 (III)
d)
Quadrant 4 (IV)
15.
Which way did the
blue triangle
rotate to the
red triangle?
blue triangle
rotate to the
red triangle?
a)
Flipped
b)
Rotated clockwise
c)
Reflected
d)
Rotated counterclockwise
16.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
17.
What is the definition of rotation?
a)
To move up, down, left, or right.
b)
To flip.
c)
To make a circular movement around a point.
d)
To mirror.
18.
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)
19.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
20.
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)
21.
What is this picture an example of?
a)
An angle
b)
A cat vertex
c)
Rotation
d)
Dilation
22.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
23.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
24.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
25.
B(-2, -4)
Reflect over the line y = x
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
26.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
27.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
28.
The reflection of J (-1,11) is J' (-1, -11). what is the reflection of D (5, -5) when reflected over the same axis of reflection?
a)
(-5,5)
b)
(5,5)
c)
(5,-5)
d)
(-5, -5)
29.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
30.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
31.
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
32.
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)
33.
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)
34.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
35.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
36.
Tell whether the shaded figure is a reflection of the nonshaded figure.
a)
Yes
b)
No
37.
Tell whether the shaded figure is a reflection of the nonshaded figure.
a)
Yes
b)
No
38.
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 -
39.
When Translating an image, if you move a figure down, you will have _____ a number.
a)
y +
b)
y -
c)
x +
d)
x -
40.
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)
41.
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)
42.
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)
43.
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)
44.
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) --> (7x, 4y)
45.
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)
46.
The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 6, y + 8)
b)
(x, y) --> (x + 6, y - 8)
c)
(x, y) --> (x + 8, y + 6)
d)
(x, y) --> (6x, 8y)
47.
The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 5, y + 4)
b)
(x, y) --> (x + 5, y - 4)
c)
(x, y) --> (x + 4, y + 5)
d)
(x, y) --> (5x, 4y)
48.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
49.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
50.
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
51.
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
52.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
53.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
54.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
55.
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)
56.
The rule for rotation of 90 degrees is
(x, y) --> _
(x, y) --> _
a)
(y, -x)
b)
(-y, x)
c)
(x, -y)
d)
(-x, y)
57.
The rule for reflection over the y-axis is
(x, y) --> _
(x, y) --> _
a)
(-x, y)
b)
(x, -y)
c)
(y, x)
d)
(-y, x)
58.
The rule for rotation of 270 degrees is
(x, y) --> _
(x, y) --> _
a)
(y, x)
b)
(-y, x)
c)
(y, -x)
d)
(x, -y)
59.
Triangle A 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
60.
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)
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