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Copyright © by Holt, Rinehart and Winston. 77 Holt MathematicsAll rights reserved.
Name Date Class
Practice CTranslations, Reflections, and Rotations8-10
LESSON
Identify each type of transformation.
Graph each translation.
Graph the reflection of each figure across the indicated axis. Write thecoordinates of the vertices of the image.5. x-axis 6. y-axis
1. 2.
3. 3 units to the right and 3 units down 4. 4 units to the left and 5 units up
7. Triangle KLM has vertices at K(1,�1), L(4, �1), and M(5, 1). Rotate�KLM 270° counterclockwise aboutthe vertex K.
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Copyright © by Holt, Rinehart and Winston. 110 Holt MathematicsAll rights reserved.
Copyright © by Holt, Rinehart and Winston. 75 Holt MathematicsAll rights reserved.
Practice ATranslations, Reflections, and Rotations8-10
LESSON
Identify the transformation. Choose the letter of the best answer.
Graph each translation.
Follow the directions to graph each transformation.
1.
translation
B reflection
C rotation
2.
A translation
reflection
C rotation�B
�A
3. 2 units to the left and 4 units down 4. 3 units to the right and 2 units up
5. Reflect �EFG across the x-axis. 6. Rotate �XYZ 180° about the vertex X.
xO 4 6
4
2
2�2
�2
�4
�4�6
y
XZ
Y
X´ Z´
Y´
xO 4 6
4
2
2�2
�2
�4
�4�6
y
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F
E´G´
F´
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y
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y
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y
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y
YYYYY
Z´
Y´
O
Copyright © by Holt, Rinehart and Winston. 76 Holt MathematicsAll rights reserved.
Practice BTranslations, Reflections, and Rotations8-10
LESSON
Identify each type of transformation.
Graph each translation.
Graph the reflection of each figure across the indicated axis. Write thecoordinates of the vertices of the image.
5. x-axis 6. y-axis
1. 2.
rotationreflection
3. 5 units to the left and 2 units up 4. 4 units to the right and 3 units up
7. Triangle DEF has vertices at D(�2,�1), E(�2, �3), and F(�5, �3).Rotate �DEF 90° clockwise aboutthe vertex D.
xO 4 6
4
2
2
�4
�4 �2�6
y
T
UV
V´U´
T´
xO 4 6
2
�22�4 �2�6
y
H
JK
K´
H´
J´ (�4, 4) (2, 4)
(�5, �1)
xO 44 66666
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22
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�4�666
y
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xO 44 66666
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22
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44
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F
H
JJ
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G´
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y
TT SS
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T´S´
R´
(�5, 3)(�
(�3, 1)R
Copyright © by Holt, Rinehart and Winston. 77 Holt MathematicsAll rights reserved.
Practice CTranslations, Reflections, and Rotations8-10
LESSON
Identify each type of transformation.
Graph each translation.
Graph the reflection of each figure across the indicated axis. Write thecoordinates of the vertices of the image.5. x-axis 6. y-axis
1. 2.
translationrotation
3. 3 units to the right and 3 units down 4. 4 units to the left and 5 units up
7. Triangle KLM has vertices at K(1,�1), L(4, �1), and M(5, 1). Rotate�KLM 270° counterclockwise aboutthe vertex K.
x
4422 66666�6666 �44
y
WWWW YXXXX
Z
Z´
X´
´ Y´
�����44
�����22
2222
444
x4422 66666�6666 �
y
E GFF
G´
E´
F´
O
(2,G
�3)
(� �
(�1, �4)
(�4, �3)
x4422 66666�6666 �44 �22
y
4 2
JJ
LL
KKK
N
MM MM´
N´
´J´
LL´
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���KKKK 44
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O
(2, �2)
(5, 1)
(5, 4)(2, 3)
´ (1, 1)(
xO 44 66666
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22
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y
M´
L
L´
M
K
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y
MM N
PLL
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M´
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Copyright © by Holt, Rinehart and Winston. 78 Holt MathematicsAll rights reserved.
ReteachTranslations, Reflections, and Rotations 8-10
LESSON
A translation is a slide A rotation is a turn of A reflection is a flipto a new position. the figure. of the figure.
figure image
Identify the type of transformation.
1.
translation3.
reflection
2.
rotation4.
rotation
figure
image
figureimage
figure image
figure image
• You can translate figures in the coordinate plane.
�ABC is translated 3 units right and �DEF is translated 2 units left and3 units down. 3 units up.
xO 6
2
�4
�4 �2�6
y
E
D
F
E´
D´
F´
figure
image
xO 6
4
2
�4
�2
�4�6
y
AB
C
A´
B´
C´
figure
image
figure
image
figure image