Title: Chapter 7 Review
Course: quiz duplicate error

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

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

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

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

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: A model is built having a scale of 1 : 100,000. How high would a 35,600-ft mountain be in the model? Give your answer to the nearest tenth of an inch.
- 4.272 in.
- 2.136 in.
- 0.356 in.
- 427,200 in.
A: 4.272 in.

Q: A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?
- 18 : 1
- 1 : 18
- 9 : 6
- 6 : 9
A: 18 : 1

Q: ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 59. Find YZ. The figures are not drawn to scale.
[Image]
- 118
- 29.5
- 21.7
- 177
A: 29.5

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

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

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

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

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

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

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

Q: Find x to the nearest tenth.
[Image]
- 4.8
- 14.4
- 9.4
- 1.7
A: 14.4

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

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

Q: If [Image] then 3a = ____.
- 3b
- 10b
- 5b
- 6b
A: 5b

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: On a blueprint, the scale indicates that 6 cm represent 15 feet. What is the length of a room that is 9 cm long and 4 cm wide on the blueprint?
- 22.5 ft
- 1.5 ft
- 6 ft
- 16.5 ft
A: 22.5 ft

Q: Solve for x.

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

Q: Solve for x.

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

Q: Solve for x.

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

Q: Solve the proportion.

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

Q: Solve the proportion.

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

Q: Solve the proportion.

[Image]
- [Image]
- 5
- [Image]
- 25
A: 25

Q: Solve the proportion.

[Image]
- 54
- 81
- 9
- 18
A: 9

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

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?
- 26 : 15
- 26 : 30
- 15 : 26
- 13 : 15
A: 26 : 15

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: 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: 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: The two rectangles are similar. Which is a correct proportion for corresponding sides?
[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: Which group contains triangles that are all similar?
- [Image]
- [Image] [Image]
- [Image]
- [Image]
A: [Image]

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

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: You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this on an piece of paper that is [Image] in. by 11 in. What are the dimensions of the largest complete enlargement you can make?
- [Image] in. [Image] [Image] in.
- [Image] in. [Image] [Image] in.
- [Image] [Image] in.
- [Image] [Image] in.
A: [Image] [Image] in.

Q: You want to produce a scale drawing of your living room, which is 24 ft by 15 ft. If you use a scale of 4 in. = 6 ft, what will be the dimensions of your scale drawing?
- 24 in. by 144 in.
- 16 in. by 10 in.
- 24 in. by 10 in.
- 16 in. by 144 in.
A: 16 in. by 10 in.