Copyright © by Holt, Rinehart and Winston. 55 Holt MathematicsAll rights reserved.
Name Date Class
Practice ATransformations7-7
LESSON
Identify each as a translation, rotation, reflection, or noneof these.
1. 2.
3. 4.
translationnone of these
10
10
66
A B
D C
10
10
66
A' B'
D' C'
2
2
2 2 4
4
4
4
R' S'
Q'T
S
QQQQ
R
T'
rotationreflection
A
4 45 5
3 3B B'C C'
A'
5. Draw the image of the triangleABC with vertices (–2, 2), (2, 4),and (2, 2) after a translation 5 unitsdown.
6. Triangle XYZ has vertices X(3, 4),Y(4, 1), and Z(1, 1). Find thecoordinates of the image of pointZ after a reflection across the y-axis.
60°
60° 60°
60°
120°
120° 120° 120°
E
F H' E'
F'G'G
H
x
y
x
y
MSM07G8_RESBK_Ch07_055-063.pe 2/13/06 1:00 PM Page 55
Copyright © by Holt, Rinehart and Winston. 94 Holt MathematicsAll rights reserved.
Copyright © by Holt, Rinehart and Winston. 55 Holt MathematicsAll rights reserved.
Practice ATransformations7-7
LESSON
Identify each as a translation, rotation, reflection, or noneof these.
1. 2.
3. 4.
none of thesetranslation
10
10
66
A B
D C
10
10
66
A' B'
D' C'
2
2
2 2 4
4
4
4
R' S'
Q'T
S
QQQQ
R
T'
rotationreflection
A
4 45 5
3 3B B'C C'
A'
5. Draw the image of the triangleABC with vertices (–2, 2), (2, 4),and (2, 2) after a translation 5 unitsdown.
6. Triangle XYZ has vertices X(3, 4),Y(4, 1), and Z(1, 1). Find thecoordinates of the image of pointZ after a reflection across the y-axis.
(–1, 1)
60°
60° 60°
60°
120°
120° 120° 120°
E
F H' E'
F'G'G
H
x
y
A
A'
CC
C'C
B
B'x
y
XX'
Y' YZZ'
Copyright © by Holt, Rinehart and Winston. 56 Holt MathematicsAll rights reserved.
Practice BTransformations7-7
LESSON
Identify each as a translation, rotation, reflection, or noneof these.
1. 2.
Draw the image of the rectangle ABCD with vertices (�2, 1),(�1, 3), and (3, 3), (2, 1) after each transformation.3. translation 3 units down 4. 180° rotation around (0, 0)
Triangle ABC has vertices A(�3, 1), B(2, 4), and C(3, 1). Find thecoordinates of the image of each point after eachtransformation.
5. reflection across the x-axis, point B 6. translation 6 units down, point A
A’(–3, –5)B’(2, –4)
x
y
B C
AA DD
D' A'A
C' B'
x
y
B C
AA DD
B' C'
A' D'
translationrotationJ M
K L
J' M'
K' L'R
SQ
Q'
R'
S'
x
y
A
A'
C
C'
B
B'
x
y
A C
A' C'
B
B'
Copyright © by Holt, Rinehart and Winston. 57 Holt MathematicsAll rights reserved.
Practice CTransformations7-7
LESSON
Give the coordinates of each point after a reflection acrossthe x-axis.
1. (�2, 3) 2. (�4, �1) 3. (5, 2) 4. (6, �3)
Give the coordinates of each point after a reflection acrossthe y-axis.
5. (�1, �5) 6. (3, 2) 7. (�4, 6) 8. (7, �2)
Give the coordinates of each point after a 180° rotationaround (0, 0).
9. (4, �6) 10. (�5, 3) 11. (1, 2) 12. (�3, �2)
Perform the given transformation.
13. Reflect across line m. 14. Rotate clockwise 180° around (0, 0).
m
n
m
n
(3, 2)(�1, �2)(5, �3)(�4, 6)
(�7, �2)(4, 6)(�3, 2)(1, �5)
(6, 3)(5, �2)(�4, 1)(�2, �3)
Copyright © by Holt, Rinehart and Winston. 58 Holt MathematicsAll rights reserved.
ReteachTransformations7-7
LESSON
Reflection Rotation Translation
a mirror image (a flip) a turning a slideThe figure is reflected The figure is rotated The figure is translated
over line �. 90° clockwise about 3 units right and point O. 1 unit up.
Complete to identify each type of transformation.
1. 2. 3.
Slide the figure Turn the figure 90° Flip the figure2 units
Transformation: Transformation: Transformation:
Identify each as a translation, rotation, or reflection.
4. 5. 6.
translationrotation.reflection
reflectionrotation.translation
over line m.counterclockwise.left.
m
O90°
O90°
�
kA
B C B'C'
A'
p
A
B CB'C'
A'
A
B C B' C'
A'