Name Date Class

LESSON Practice B
8-10 Translations, Reflections, and Rotations
Identify each type of transformation.
1. y 2. y
4 4

2 2
x x
6
!6 4
!4 2
!2 O 2 4 6 6
!6 4
!4 2
!2 O 2 4 6
!2
!2 !2

!4 !4

Graph each translation.

3. 5 units to the left and 2 units up 4. 4 units to the right and 3 units up

y
y
4 4

2 T
2
x x
!6 !4 !2 O 2 4 6 6
!6 4
!4 2
!2 O 2 4 6
V G H!2
U
F J!4
!4

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
y
y
4
T S
2 2
H Q
x R x
!6 !4 !2 O 2 4 6 6
!6 4
!4 2
!2 O 2 4 6
!2 !2

K !4
J

y
7. Triangle DEF has vertices at D(!2, 4
!1), E(!2, !3), and F(!5, !3).
2
Rotate !DEF 90° clockwise about x
the vertex D. 6
!6 !4 2
!2 O 2 4 6
!

!4

Copyright © by Holt, Rinehart and Winston.

All rights reserved. 76 Holt Mathematics
 LESSON Practice A LESSON Practice B
8-10 Translations, Reflections, and Rotations 8-10 Translations, Reflections, and Rotations
Identify the transformation. Choose the letter of the best answer. Identify each type of transformation.
1. y 2. y 1. y 2. y
4 4
4 4
2 2
2 2 x x
6 4 2 O 2 4 6 O
x x !6 !4 !2 6
!6 4
!4 2
!2 2 4 6
!2
!2 !2
6
!6 4
!4 2
!2 O 2 4 6 6
!6 4
!4 2
!2 O 2 4 6
!2 !2 !4 !4

!4 !4
reflection rotation
!
A translation A translation
Graph each translation.
B reflection !
B reflection
C rotation 3. 5 units to the left and 2 units up 4. 4 units to the right and 3 units up
C rotation
Graph each translation. y
y
T´ 4
3. 2 units to the left and 4 units down 4. 3 units to the right and 2 units up 4

2 T G´ 2
y y H´
U´ V´ x F´ J´ x
4 Y 4 !6 !4 !2 O 2 4 6 6 4 2 O 2 4 6
B´ C´
!6 !4 !2
V G H!2
2 U
2 B C F J!4
X ´ ´ x
!4
Z x O
6
!6 4
!4 2
!2 2 4 6
!6 !4 !2 O 2 4 6 !2
!2 Y´ A D
!4 Graph the reflection of each figure across the indicated axis. Write the
X´!4 Z´ coordinates of the vertices of the image.

5. x-axis 6. y-axis
y
J´ (!4, 4)
y
Follow the directions to graph each transformation. K´(2, 4) (!
(!5, 3)S´ T´ 4
T S
5. Reflect !EFG across the x-axis. 6. Rotate !XYZ 180° about the vertex X. 2 2
H (!3, 1) Q
x R´
R R x
y y !6 !4 !2 O 2 4 6 6
!6 4
!4 2
!2 O 2 4 6

4 F 4
H´ !2 !2
(!5, !1)
K !4
2
G 2 J
E Y
x x y
O 6 4 O 2 4 6
7. Triangle DEF has vertices at D(!2,
!6 !4 !2 2 4 6 !6 !4 ! 4
E´ ´ 2 Z !1), E(!2, !3), and F(!5, !3). F´
!2 2
G´ Rotate !DEF 90° clockwise about x
!4 Y´ !4 the vertex D. 6
!6 !4 2
!2 O 2 4 6
F´ E´ !

F !4

Copyright © by Holt, Rinehart and Winston.

All rights reserved. 75 Holt Mathematics Copyright © by Holt, Rinehart and Winston.
All rights reserved. 76 Holt Mathematics

LESSON Practice C LESSON Reteach

8-10 Translations, Reflections, and Rotations 8-10 Translations, Reflections, and Rotations
Identify each type of transformation. A translation is a slide A rotation is a turn of A reflection is a flip
1.
y
2.
y
to a new position. the figure. of the figure.
4 4

2 2
x x
O O
6
!6 4
!4 2
!2 2 4 6 6
!6 4
!4 2
!2 2 4 6
image
!2 !2

!4 !4
figure
figure image figure image

rotation translation
Identify the type of transformation.
Graph each translation.
1. 2.
3. 3 units to the right and 3 units down 4. 4 units to the left and 5 units up

y y
X 4 4
W Y
X´ M´ N´ figure image image
2 2 P´ figure
´ Y´ x L´ x
6 !4
!6 4 2 4 6 6
!6 4
!4 2
!2 O 2 4 6 translation rotation
M N
!2 !2
Z 3. 4.
P
!4 !4
Z´ L

figure
Graph the reflection of each figure across the indicated axis. Write the
figure image image
coordinates of the vertices of the image.
5. x-axis 6. y-axis reflection rotation
y y (5, 4)
F J (2, 3) J´
E G K!4 ´ ((1, 1) • You can translate figures in the coordinate plane.
!2 N´ (5, 1)
x
N L L´
(! ! x !ABC is translated 3 units right and !DEF is translated 2 units left and
6 !
!6 ´ O 2 4 6 6 !4
!6 4 !22 O 2 4 6
!2
3 units down. 3 units up.
(!4, !3)E´ G M M´
(2, !3) (2, !2) y y
!4
F´
(!1, !4) B 4 E´
A 2 F´
figure 2
C image
y B´ E x
7. Triangle KLM has vertices at K(1, 4
x !6 !4 D´ O !2 6
!1), L(4, !1), and M(5, 1). Rotate !6 !4 A´ O 6 F
image C´
2 M !2 figure
!KLM 270° counterclockwise about x
the vertex K. 6
!6 4
!4 2
!2 O K 2 4 6 !4 !4 D
!2
L

!4
M´
L´

Copyright © by Holt, Rinehart and Winston.

All rights reserved. 77 Holt Mathematics Copyright © by Holt, Rinehart and Winston.
All rights reserved.
78 Holt Mathematics

Copyright © by Holt, Rinehart and Winston.

All rights reserved. 110 Holt Mathematics