LESSON Practice B T ranslations, Reflections, and Rotations prac B.pdf · LESSON Identify eac h ......
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Copyright © by Holt, Rinehart and Winston. 76 Holt Mathematics All rights reserved. Name Date Class Practice B Translations, Reflections, and Rotations 8-10 LESSON Identify each type of transformation. Graph each translation. Graph the reflection of each figure across the indicated axis. Write the coordinates of the vertices of the image. 5. x-axis 6. y-axis 1. 2. 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 about the vertex D. x O 4 6 4 2 2 4 4 2 6 y T U V x O 4 6 2 2 2 4 2 6 y H J K x O 4 4 6 6 4 4 2 2 2 2 2 2 4 4 4 6 6 y x O 4 4 6 6 4 2 2 2 2 2 2 2 4 4 4 4 6 6 y 2 2 4 4 4 4 2 2 x O 4 4 6 6 4 4 2 2 2 2 2 2 2 2 4 4 4 4 6 6 y x O 4 4 6 6 4 4 2 2 2 2 2 2 2 2 4 4 4 4 6 6 y G G F H J J x O 4 4 6 6 4 4 2 2 2 2 2 2 2 2 4 4 4 4 6 6 y T T S S R R R Q Q
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Transcript of LESSON Practice B T ranslations, Reflections, and Rotations prac B.pdf · LESSON Identify eac h ......
Copyright © by Holt, Rinehart and Winston. 76 Holt MathematicsAll rights reserved.
Name Date Class
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.
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
xO 4 6
2
!22!4 !2!6
y
H
JK
xO 44 66666
44
22
22!22
!!!!!
!!44
!4!666
y
xO 44 66666
4
22
22!22
!2
!!44
!44!666
y
22
44
44
!!!!!22
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
GG
F
H
JJ
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
TT SS
RRRQQ
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.
translationB reflectionC rotation
2.
A translationreflection
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
EG
F
E´G´
F´
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
2244 2x
O 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
CCCBBBBB
DDDAAA
BB´ C´
´´
xO 44 66666
44
22
22!
22
!!44
!44!666
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
44
22
22!22
!!!!!
!!44
!4!666
y
F´
E´
F
xO 44 66666
4
22
22!22
!2
!!44
!44!666
y
22
44
44
!!!!!22
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
GG
F
H
JJ
H´J´F´
G´
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
TT SS
RRRQQ
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´
!!!!!44
!!!KKKK 44
!!!!!22
!!!!!!!22
O
(2, !2)
(5, 1)
(5, 4)(2, 3)
´ (1, 1)(
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
M´
L
L´
M
K
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
MM N
PLL
N´P´
L´
M´
xO 44 66666
44
22
22!22
!!!!!22
!!44
!44!666
y
444444
xO 44 66666
44
22
22!22
!!22
!!44
!44!666
y
44
!!!!!
2
222
42 4
!!!!
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
