Copy

right

© H

ough

ton

Miffl

in H

arco

urt P

ublis

hing

Com

pany

. All

right

s re

serv

ed.

Name ——————————————————————— Date ————————————Name ——————————————————————— Date ————————————

Practice BFor use with the lesson “Perform Similarity Transformations”

Draw a dilation of the figure using the given scale factor.

1. k 5 2 2. k 5 1 }

4

x

y

2

4 C

A

B

x

y

1

1

C

A

B

3. k 5 1 }

2 4. k 5 1

1 }

2

x

y

1

1

C

D

A

B

x

y

1

1

CD

A

B

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then, find the values of the variables.

5. y

x z6

2

3 3

6

A

B

6.

A

B

7

10

8

14 m

n

7.

A

B

2

5 5

7.5

7.5

y

x

z

8.

A

B

12

6 83

mn

GeometryChapter Resource Book6-74

Les

so

n 6

.6

Lesson

6.6

CS10_CC_G_MECR710761_C6L06PB.indd 74 4/28/11 1:38:20 PM

Copy

right

© H

ough

ton

Miffl

in H

arco

urt P

ublis

hing

Com

pany

. All

right

s re

serv

ed.

Name ——————————————————————— Date ————————————Name ——————————————————————— Date ————————————

Determine whether the transformation from Figure A to Figure B is a translation, reflection, rotation, or dilation.

9.

x

y

2

3 A B

10.

x

y

2

2

AB

11.

x

y

2

2

A

B

12.

x

y

2

4

A

B

13. Overhead Projectors Your teacher draws a circle on an overhead

3 in.

4 ft

projector. The projector then displays an enlargement of the circle on the wall. The circle drawn has a radius of 3 inches. The circle on the wall has a diameter of 4 feet. What is the scale factor of the enlargement?

14. Posters A poster is enlarged and then the enlargement is reduced as shown in the figure.

a. What is the scale factor of the enlargement? the reduction?

b. A second poster is reduced directly from size A to size C. What is the scale factor of the reduction?

c. How are the scale factors in part (a) related to the scale factor in part (b)?

A B C8.5 in. 17 in.

11 in.

22 in.

5.5 in.

4.25 in.

Practice B continuedFor use with the lesson “Perform Similarity Transformations”

GeometryChapter Resource Book 6-75

Less

on

6.6

Lesson

6.6

CS10_CC_G_MECR710761_C6L06PB.indd 75 4/28/11 1:38:20 PM

Copy

right

© H

ough

ton

Miffl

in H

arco

urt P

ublis

hing

Com

pany

. All

right

s re

serv

ed.

Lesson Perform Similarity TransformationsTeaching Guide

1. They are equal to the scale factor.

2. reduced 3. enlarged

4. Sample answer: nAED, nEBF, nDFC

A

E

B

F

C

D

5. Sample answer: nADE, nGBF, nHIC

H E A C

I

B

F G

D

Technology Activity

1. Yes. nABC , nPQR by the SSS Similarity Theorem. 2. m∠ A 5 47.498, m∠ B 5 37.758, m∠ C 5 94.768, m∠ M 5 47.498, m∠ N 5 37.758, and m∠ O 5 94.768. Yes. nABC , nMNO by the AA Similarity Postulate.

Practice Level A

1. enlargement 2. reduction 3. enlargement

4. reduction 5. C(2, 2), D(6, 2)

6. C(3, 3), D(6, 9) 7. C(0, 0), D(215, 10)

8.

x

y

1

4 A(2, 0)D (4, 0)

B(2, 2)

C (4, 4)

9.

x

y

1

1

A(2, 4)

C (1, 2)B(6, 2)

D (3, 1)

10.

x

y 4

1

A(21, 1)

D (23, 3)

F (23, 0)

E (3, 3)

C (21, 0)

B (1, 1)

11.

x

y

1

1

A(0, 0)

F (2, 0)

D (3, 23)G(1, 21)

C (6, 0)

B(3, 3)

E (1, 1)

12. 3 13. 2 }

3 14. 5 15. reduction;

1 }

3

16. enlargement; 5 }

2 17. reduction;

1 }

3

18. enlargement; 4 }

3 19. dilation 20. translation

21. no; The new screen is not similar to the old

screen, because 15

} 9 Þ

20 }

6 . 22. yes; The dilation is

an enlargement with a scale factor of 3.

Practice Level B

1.

x

y

2

4

C N

L

M

A

B

2.

x

y

1

3

C

A

B

N

L

M

3.

x

y

1

3

C

D

A N

M

L P

B 4.

x

y

1

1

C D

A

B

N

M

L

P

5. reduction; x 5 1, y 5 2, z 5 1

6. enlargement; m 5 16, n 5 20

7. enlargement; x 5 3, y 5 2, z 5 3

8. reduction; m 5 2, n 5 1.5 9. dilation

10. reflection 11. dilation 12. translation 13. 8

14. a. 2; 1 }

4 b.

1 }

2 c. The scale factor in part (b) is

the product of the scale factors in part (a).

Practice Level C

1.

x

y

2

1

(22, 4)

(24, 0)(0, 0)

2.

x

y

6

2

(23, 6)

(23, 23)

(0, 3)

an

sw

er

s

GeometryChapter Resource Book A87

6.6