100 200 300 400 9.29.39.4review applied math ii 9.1 500 600 100 200 300 400 500 600 100 200 300 400...

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Page 1: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

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9.2 9.3 9.4 Review

Applied Math II9.1

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Credits

Page 2: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1 - 100

Answer

Write the ratio in simplest form.

10

2

Page 3: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 200

Answer

Write the ratio in simplest form.

21

45

Page 4: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 300

Answer

Solve the proportion for x.

x

4

5

2

Page 5: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 400

Answer

Solve the proportion for x.

4

7

1

14

x

Page 6: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 500

Answer

Write the ratio in simplest form:

6 inches to 2 feet

Page 7: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1 - 600

Answer

If Amy can drive her car 320 miles on 8 gallons of gas, how many gallons will

it take her to drive 500 miles?

Page 8: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 100 Answer

Answer:

Write the ratio in simplest form.

10

2

5

1

Page 9: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 200 Answer

Answer:

Write the ratio in simplest form.

21

45

7

15

Page 10: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 300 Answer

Answer: x = 10

Solve the proportion for x.

x

4

5

2

Page 11: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 400 Answer

Answer: x = 9

Solve the proportion for x.

4

7

1

14

x

Page 12: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 500 Answer

Answer:

Write the ratio in simplest form:

6 inches to 2 feet

4

1

Page 13: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.1- 600 Answer

Answer: 12.5 gallons

If Amy can drive her car 320 miles on 8 gallons of gas, how many gallons will

it take her to drive 500 miles?

Page 14: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 1009.2- 100

Answer

Define similar.

Page 15: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2 - 2009.2 - 200

Answer

Determine if the two polygons are similar. Justify your answer.

5 5

12

12

5 5

7

7

Page 16: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 3009.2- 300

Answer

Determine if the two polygons are similar. Justify your answer.

100

80

100

80

8

8

8

8

3

3

3

3

Page 17: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 4009.2- 400

Answer

Determine if the two polygons are similar. Justify your answer.

5

5

5

5

3

3

3

3

Page 18: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2 - 5009.2 - 500

Answer

Given that the polygons are similar, find the values of x and y.

4 4 9 y

18

12

8

x

Page 19: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 6009.2- 600

Answer

Randy is drawing a scale model of a living room that she is going to redecorate. If ¼ inch on the drawing represents 10 inches, find the measure of the actual room if the

drawing is 8 inches by 7 inches.

Page 20: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 100 Answer9.2- 100 Answer

Answer: same shape, but not always the

same size

Define similar.

Page 21: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 200 Answer9.2- 200 Answer

Answer: NO, because the sides are not proportional.

Determine if the two polygons are similar. Justify your answer.

5 5

12

12

5 5

7

7

Page 22: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 300 Answer9.2- 300 Answer

Answer: YES, the sides are proportional and the angles are congruent

Determine if the two polygons are similar. Justify your answer.

100

80

100

80

8

8

8

8

3

3

3

3

Page 23: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 400 Answer9.2- 400 Answer

Answer: NO, because the angles are not congruent

Determine if the two polygons are similar. Justify your answer.

3

3

3

35

5

5

5

Page 24: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 500 Answer9.2- 500 Answer

Answer: x = 27, y = 9

Given that the polygons are similar, find the values of x and y.

4 4 9 y

18

12

8

x

Page 25: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.2- 600 Answer9.2- 600 Answer

Answer: 320 in by 280 in

Randy is drawing a scale model of a living room that she is going to redecorate. If ¼ inch on the drawing represents 10 inches, find the measure of the actual room if the

drawing is 8 inches by 7 inches.

Page 26: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 100

Answer

Name the three ways that you can prove two triangles are similar.

Page 27: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 200

Answer

Complete the similarity statement.

A

B C

D

E F

_________~ byABC

Page 28: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3- 300

Answer

Complete the similarity statement.

2

5

6

10

4040

X

Y Z

L

MN

________~ byXYZ

Page 29: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 400

Answer

Given the two triangles are similar, find the value of x.

9 9

6

12 12

x

Page 30: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3- 500

Answer

Given the two triangles are similar solve for x.

4

8

6

X + 2

Page 31: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3- 600

Answer

Given the two triangles are similar, solve for x and y.

10

50

502

3

x

20

y

Page 32: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 100 Answer

Answer: AA, SSS, SAS

Name the three ways that you can prove two triangles are similar.

Page 33: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 200 Answer

Answer: DEF, AA

Complete the similarity statement.

A

B C

D

E F

_________~ byABC

Page 34: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 300 Answer

Answer: LMN by SAS

Complete the similarity statement.

2

5

6

10

4040

________~ byXYZ

10

X

Y Z

L

MN

Page 35: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 400 Answer

Answer: x = 8

Given the two triangles are similar, find the value of x.

9 9

6

12 12

x

Page 36: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 500 Answer

Answer: x = 10

Given the two triangles are similar solve for x.

4

8

6

X + 2

Page 37: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.3 - 600 Answer

Answer: x = 15, y = 4

Given the two triangles are similar, solve for x and y.

10

50

502

3

x

20

y

Page 38: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 – 100

Answer

Complete the proportion.

A

B C

D E

ACAB

AD

Page 39: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 200

Answer

Complete the proportion.

A

B C

D E

AB

DE

AD

Page 40: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 – 300

Answer

Complete the proportion.

A

B C

D E

AB

ADAE

Page 41: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 400

Answer

Solve for x.

4

66

x

Page 42: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 500

Answer

Solve for x.

5

6x

12

Page 43: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 600

Answer

Solve for x.

x

8

x + 4

12

Page 44: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 100 Answer

Answer: AE

Complete the proportion.

A

B C

D E

ACAB

AD

Page 45: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 200 Answer

Answer: BC

Complete the proportion.

A

B C

D E

AB

DE

AD

Page 46: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 300 Answer

Answer: AC

Complete the proportion.

A

B C

D E

AB

ADAE

Page 47: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 400 Answer

Answer: x = 5

Solve for x.

4

66

x

Page 48: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 500 Answer

Answer: x = 5

Solve for x.

5

6x

12

Page 49: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

9.4 - 600 Answer

Answer: x = 8

Solve for x.

x

8

x + 4

12

Page 50: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review- 100

Answer

Find the sinAA

BC3

4 5

Page 51: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 200

Answer

Classify the angle.

Page 52: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 300

Answer

If <ABC = 82° and <ABD = 40° find m <DBC

A

BC

D

Page 53: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 400

Answer

Two angles are complementary. One angle is twice as big as the other. Find

both angles.

Page 54: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 500

Answer

Find the midpoint of (-3,2) and (5, 8)

Page 55: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review- 600

Answer

Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle

of elevation?

Page 56: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 100 Answer

Answer: 3/5

Find the sinAA

BC3

4 5

Page 57: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 200 Answer

Answer: obtuse

Classify the angle.

Page 58: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 300 Answer

Answer: 42°

If <ABC = 82° and <ABD = 40° find m <DBC

A

BC

D

Page 59: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 400 Answer

Answer: 30° and 60°

Two angles are complementary. One angle is twice as big as the other. Find

both angles.

Page 60: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 500 Answer

Answer: (1,5)

Find the midpoint of (-3,2) and (5, 8)

Page 61: 100 200 300 400 9.29.39.4Review Applied Math II 9.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500

Review - 600 Answer

Answer: 44.4°

Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle

of elevation?