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'