Copyright © by Holt, Rinehart and Winston. 75 Holt MathematicsAll rights reserved.

Name Date Class

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

xO 4 6

4

2

2�2

�2

�4

�4�6

y

EG

F

xO 44 66666

44

22

22�22

�����22

��44

�44�666

y

2244 2

xO 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

xO 44 66666

44

22

22�

22

��44

�44�666

y

YYYYY

ZO

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.

x

4422 66666�6666 �44

y

WWWW YXXXX

Z�����44

�����22

2222

444

x4422 66666�6666 �

y

E GFF

Ox

4422 66666�6666 �44 �22

y

4 2

JJ

LL

KKK

N

MM�����44

���KKKK 44

�����22

�������22

O

xO 44 66666

44

22

22�22

�����22

��44

�44�666

y

xO 44 66666

44

22

22�22

�����22

��44

�44�666

y

MM N

PLL

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. 77 Holt MathematicsAll rights reserved.

Name Date Class

Problem SolvingTranslations, Reflections, and Rotations8-10

LESSON

5. What transformation of triangle 1created triangle 2?

A translation 3 units right and 1 unitdown

translation 8 units right and 1 unitdown

C rotation of 180° about the origin

D reflection across the y-axis

6. If you rotate triangle 2 90° clockwiseabout vertex D, what will be thecoordinates of the new triangle?

D�(3, 1), E�(7, 1), F�(3, �3)

G D�(3, 1), E�(3, �3), F�(7, 1)

H D�(3, 1), E�(�4, 1), F�(�3, 3)

J D�(3, 1), E�(�3, 3), F�(�7, 1)

7. If you reflect triangle 1 across thex-axis, what will be the coordinates ofthe new triangle?

A A�(5, 2), B�(5, 6), C�(1, 2)

B A�(�5, 0), B�(-5, �4), C�(�1, 0)

C A�(5, �2), B�(5, �6), C�(1, �2)

A�(�5, �2), B�(�5, �6), C�(�1, �2)D

xO 642

2

4

6

�2

�6 �4 �2

y

A C

B

F

E

D

12

F

B

Write the correct answer.

12

67 54839

21011112

67 54839

210111

Clock 1 Clock 2

Choose the letter for the best answer.

1. If you reflect the hands of clock 1across a line from 12 to 6, what timewill it show?

3. The hands on clock 1 show 7:00after a transformation of one hand.What was the transformation?

2. If you rotate the hour hand on clock 2by 90° clockwise, what time will it be?

4. The hands on clock 2 show 9:00after a transformation. Name 2different transformations that couldproduce this change.

TEKS 7.7.B