Title: Chapter 7 Test
Course: quiz duplicate error

Q: Solve the proportion.

[Image]
- 42
- 24
- 112
- 7
A: 7

Q: Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not to scale.
[Image]
- 42.3 m
- 47.4 m
- 73.8 m
- 82.8 m
A: 42.3 m

Q: Explain why the triangles are similar. Then find the value of x.

[Image]
- SAS Postulate; [Image]
- SSS Postulate; [Image]
- AA Postulate; [Image]
- AA Postulate; [Image]
A: AA Postulate; [Image]

Q: The two rectangles are similar. Which is a correct proportion for corresponding sides?
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Are the polygons similar? If they are, write a similarity statement and give the similarity ratio.

In $$ \Delta\ $$ RST, RS = 10, RT = 15, and angle R = 32. In $$ \Delta\ $$ UVW, UV = 12, UW = 18, and angle U = 32.
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
- The triangles are not similar.
A: [Image]; [Image]

Q: Are the triangles similar? If so, explain why.
[Image]
- yes, by SAS
- yes, by SSS
- yes, by AA
- no
A: yes, by AA

Q: Solve for x.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Use the Side-Splitter Theorem to find x, given that [Image].
[Image]
- 12
- 6
- 20
- 24
A: 12

Q: Find the values of x and y, given that [Image].
[Image]
- x = 10; y = 25.5
- x = 20; y = 17
- x = 13; y = 25.5
- x = 25.5; y = 10
A: x = 10; y = 25.5

Q: You are reducing a map of dimensions 2 ft by 3 ft to fit to a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: If [Image] then 5a = ____.
- 4b
- 5b
- 2b
- 10b
A: 2b

Q: Solve the proportion.

[Image]
- [Image]
- 32
- 4
- [Image]
A: 32

Q: The length of a rectangle is [Image] inches and the width is [Image] inches. What is the ratio, using whole numbers, of the length to the width?
- 22 : 17
- 11 : 17
- 22 : 34
- 17 : 22
A: 22 : 17

Q: Solve the proportion.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: A map of Australia has a scale of 1 cm to 120 km. If the distance between Melbourne and Canberra is 463 km, how far apart are they on the map, to the nearest tenth of a centimeter?
- 0.4 cm
- 3.9 cm
- 38.6 cm
- 55,560 cm
A: 3.9 cm

Q: Four explorers are trying to find the distance across an oddly shaped lake. They position themselves as shown in the diagram. Alhombra uses her compass to instruct Chou and Duong to move along the line they form with Bizet until she sees that from her perspective the angle between Bizet and Chou is equal to the angle formed between Chou and Duong. They measure the distance between Bizet and Chou to be 35 m, between Chou and Duong to be 46 m, and between Alhombra and Duong to be 100 m. How long is the lake from east to west? Round your answer to the nearest tenth of a meter.
[Image]
- 76.1 m
- 77.4 m
- 131.4 m
- 132.4 m
A: 76.1 m

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

[Image] [Image]
- [Image]; SSS
- [Image]; SAS
- [Image]; AA
- The triangles are not similar.
A: [Image]; SSS

Q: [Image]. Complete the statements.
[Image]

a. | [Image] [Image]
b. | [Image]
- [Image]; DC
- E; AE
- E; DC
- [Image]; AE
A: [Image]; DC

Q: Given [Image], solve for x.The diagram is not drawn to scale.
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Are the polygons similar? If they are, write a similarity statement and give the similarity ratio.

In triangle QRS, QR = 4, RS = 15, and angle R = 36. In triangle UVT, VT = 8, TU = 32, and angle T = 36.
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
- The triangles are not similar.
A: The triangles are not similar.

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

[Image]
- [Image]; SAS
- [Image]; SAS
- [Image]; SSS
- The triangles are not similar.
A: [Image]; SAS

Q: An angle bisector of a triangle divides the opposite side of the triangle into segments 7 cm and 5 cm long. A second side of the triangle is 5.3 cm long. Find all possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.
- 35 cm, 3.8 cm
- 7.4 cm, 3.8 cm
- 37.1 cm, 6.6 cm
- 7.4 cm, 37.1 cm
A: 7.4 cm, 3.8 cm

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

In $$ \Delta\ $$ QRS, QR = 16, RS = 64, and angle R = 29. In $$ \Delta\ $$ UVT, VT = 8, TU = 32, and angle T = 29.
- [Image]; ASA
- [Image]; SAS
- [Image]; ASA
- The triangles are not similar.
A: [Image]; SAS

Q: Solve for x.

[Image]
- 8
- 12
- 6
- 2
A: 8

Q: Explain why the triangles are similar. Then find the value of x.

[Image]
- AA Postulate; [Image]
- SAS Postulate; [Image]
- AA Postulate; [Image]
- SSS Postulate; [Image]
A: AA Postulate; [Image]

Q: The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.

[Image] [Image]
- x = [Image], y = [Image]
- x = [Image], y = 27
- x = 9, y = [Image]
- x = 9, y = 27
A: x = 9, y = 27

Q: Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.
[Image]
- 20 ft
- 38.4 ft
- 55 ft
- 25 ft
A: 20 ft

Q: You want to produce a scale drawing of your living room, which is 28 ft by 14 ft. If you use a scale of 5 in. = 7 ft, what will be the dimensions of your scale drawing?
- 35 in. by 10 in.
- 20 in. by 10 in.
- 20 in. by 196 in.
- 35 in. by 196 in.
A: 20 in. by 10 in.

Q: The Sears Tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower?
- 1 : 725
- 725 : 1
- 12 : 725
- 725 : 12
A: 1 : 725

Q: [Image] What is the measure of [Image]?
[Image]
- 70°
- 110°
- 250°
- 35°
A: 70°

Q: A model is made of a car. The car is 2 meters long and the model is 7 centimeters long. What is the ratio of the length of the car to the length of the model?
- 200 : 7
- 2 : 7
- 7 : 200
- 7 : 2
A: 200 : 7

Q: Solve the proportion.

[Image]
- –3
- [Image]
- [Image]
- 3
A: –3

Q: ABCD ~ WXYZ. AD = 12, DC = 6, and WZ = 48. Find YZ. The figures are not drawn to scale.
[Image]
- 96
- 10
- 24
- 288
A: 24

Q: Given: [Image]. Find the length of [Image]. The diagram is not drawn to scale.
[Image]
- 9
- 12
- 18
- 11
A: 9

Q: On a blueprint, the scale indicates that 9 cm represent 18 feet. What is the length of a room that is 10.8 cm long and 5 cm wide on the blueprint?
- 21.6 ft
- 19.2 ft
- 1.2 ft
- 6 ft
A: 21.6 ft

Q: Determine whether the figures are similar.
[Image]
- not enough information
- similar
- not similar
A: similar

Q: Solve for x.

[Image]
- 5
- 2.5
- 7.5
- 10
A: 5

Q: Find x to the nearest tenth.
[Image]
- 2.1
- 25.1
- 2.7
- 14.7
A: 14.7

Q: The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.

Triangles ABC and DEF are similar. Find the lengths of AB and EF.
[Image]
- AB = 2; EF = 10
- AB = 10; EF = 2
- AB = 20; EF = 4
- AB = 4; EF = 20
A: AB = 10; EF = 2

Q: A model is built having a scale of 1 : 100,000. How high would a 25,900-ft mountain be in the model? Give your answer to the nearest tenth of an inch.
- 0.259 in.
- 310,800 in.
- 1.554 in.
- 3.108 in.
A: 3.108 in.

Q: Write a similarity statement for the triangles.
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Which group contains triangles that are all similar?
- [Image]
- [Image] [Image]
- [Image]
- [Image]
A: [Image]

Q: Figure [Image]. Name a pair of corresponding sides?
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: [Image] bisects [Image] , LM = 18, NO = 4, and LN = 10. Find OM.
[Image]
- 7.2
- 45
- 5.43
- 2.22
A: 7.2