Practice B 6 - Rigby High School

[Pages:3]Name------------------------------------------------

Date-- ------------------------

Lesson

6.6

Practice B

For 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 }41

y

Ay

2 A

C

B 4x

1

1

x

Lesson 6.6

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C

B

3. k 5 }12

y

B D

A

C

1

1

x

4. k 5 1}21

y

D

C1 A

1

x

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

xB z

2

6

3

A

3

6.

7

8

A

10

14

m

B

7.

x

2A y

z

5

6

7.5

B

5

n

8.

12

A 6

8 3

n Bm

7.5

Geometry

6-74 Chapter Resource Book

Name------------------------------------------------

Date-- ------------------------

Lesson

6.6

Practice B continued

For use with the lesson "Perform Similarity Transformations"

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

9.

y

10.

y

2

AB 3 x

B

A

2

2

x

11.

y

A

2 B

2

x

12.

y

A 2

B 4 x

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

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

4 ft

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

3 in.

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)?

22 in.

11 in.

8.5 in.

A

17 in.

B

5.5 in. 4.25 in. C

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Lesson 6.6

Geometry

Chapter Resource Book 6-75

answers

Lesson 6.6 Perform Similarity Transformations

Teaching Guide 1. They are equal to the scale factor. 2. reduced 3. enlarged 4. Sample answer: n AED, n EBF, n DFC

B

E

A

F

D C

5. Sample answer: n ADE, n GBF, n HIC

I

D

B

H

A

G

C

E

F

Technology Activity

1. Yes. n ABC , nPQR by the SSS Similarity Theorem. 2. mA 5 47.498, mB 5 37.758, mC 5 94.768, mM 5 47.498, mN 5 37.758, and mO 5 94.768. Yes. n ABC , 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. y

C (4, 4)

9. y

A(2, 4)

B(2, 2) 1

A(2, 0)

D(4, 0)

4

x

C (1, 2)

1

B(6, 2)

D(3, 1)

1

x

10.

y

D (23, 3) 4

E (3, 3)

A(21, 1)

B (1, 1)

1

x

C(21, 0)

F(23, 0)

11. y

B(3, 3)

A(0, 0)

C (6, 0) 1 E (1, 1)

1 F (2, 0)

x

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

12. 3 13. }23 14. 5 15. reduction; }13

16. enlargement; }52 17. reduction; }13 18. enlargement; }43 19. dilation 20. translation

21. no; The new screen is not similar to the old screen, because } 195? } 260. 22. yes; The dilation is an enlargement with a scale factor of 3.

Practice Level B

1.

y

2.

A y

N C

2

L

A

B 4x

M

L 1

3 x

N

M

C

B

3.

y

B

4.

y

P

D

C

A

M

A

N

C

N

D

1

L

1

x

L P 1

3

x

B M

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; }14 b. }12 c. The scale factor in part (b) is the product of the scale factors in part (a).

Practice Level C

1.

y

(22, 4)

2.

y

(23, 6) 6

(0, 3)

(24, 0)

2

(0, 0) 1x

2x (23, 23)

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Geometry

Chapter Resource Book A87

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