Title: (Canvas-Quiz)G07_Similarity
Course: HBUHSD Geometry Resource Course > Section: Unit 4: Similarity

Q: A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the length of the car to the length of the model?
- 10 : 7
- 7 : 120
- 120 : 7
- 7 : 10
A: 120 : 7

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 length of a rectangle is inches and the width is inches. What is the ratio, using whole numbers, of the length to the width?
- 30 : 38
- 19 : 30
- 15 : 19
- 30 : 19
A: 30 : 19

Q: Red and grey bricks were used to build a decorative wall.  The was .  There were 224 bricks used in all.  How many red bricks were used?
- 32
- 160
- 44.8
- 64
A: 160

Q: The measure of two complementary angles are in the ratio 1 : 5.  What are the degree measures of the two angles?
- 36° and 144°
- 15° and 75°
- 30° and 150°
- 18° and 72°
A: 15° and 75°

Q: The ratio of length to width in a rectangle is 3 to 1.  If the perimeter of the rectangle is 136 feet, what is the length of the rectangle?
- 34 feet
- 102 feet
- 51 feet
- 68 feet
A: 51 feet

Q: A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 3 : 8. How many cups of onion are needed to make 24 cups of salsa?
- 16
- 6
- 3
- 2
A: 6

Q: The measures of the angles of a triangle are in the extended ratio 2 : 3 : 4. What is the measure of the smallest angle?
- 40
- 60
- 80
- 20
A: 40

Q: What is the solution of each proportion?
- 32
- 128
- 8
- 16
A: 8

Q: What is the solution of each proportion?
- 24
- 6
A: 24

Q: What is the solution of each proportion?
- –3
- 3
A: –3

Q: What is the solution of each proportion?
A: (a choice with no text)

Q: Given the proportion , what ratio completes the equivalent proportion ?
A: (a choice with no text)

Q: If , then = ____.
A: (a choice with no text)

Q: Figure . What are the pairs of congruent angles?
A: (a choice with no text)

Q: The two rectangles are similar. Which is the correct proportion for corresponding sides?
A: (a choice with no text)

Q: . Complete the statements.

a. |
b. |
- ; DC
- E; AE
- E; DC
- ; AE
A: ; DC

Q: Are the polygons similar? If they are, write a similarity statement and give the scale factor.
- ;
- ;
- ;
- The triangles are not similar.
A: ;

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

In DQRS, QR = 4, RS = 15, and mÐR = 36. In DUVT, VT = 8, TU = 32, and mÐT = 36.
- ;
- ;
- ;
- 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 scale factor.
- ; 10 : 1.2
- The polygons are not similar.
- ; 5 : 1.2
- ; 5 : 3.12
A: The polygons are not similar.

Q: The polygons are similar, but not necessarily drawn to scale. Find the value of x.
- x = 8
- x =
- x = 9
- x = 10
A: x = 9

Q: The polygons are similar, but not necessarily drawn to scale. Find the value of x.
- x = 13
- x = 7
- x = 5.5
- x = 10
A: x = 13

Q: The polygons are similar, but not necessarily drawn to scale. Find the value of x.
- 1
- 2
- 4
- 20
A: 2

Q: The polygons are similar, but not necessarily drawn to scale. Find the value of x.
- 220
- 27.5
- 110
- 15.8
A: 27.5

Q: You want to draw an enlargement of a design that is printed on a card that is 5 in. by 6 in. You will be drawing this design on an piece of paper that is in. by 11 in. What are the dimensions of the largest complete enlargement you can make?
- in. in.
- in.
- in.
- in. in.
A: in.

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?
A: (a choice with no text)

Q: In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the diagram, the trees are 3.1 centimeters apart. How far apart should the actual trees be planted?
- 3.1 feet
- 31 feet
- 310 feet
- 31 centimeters
A: 31 feet

Q: In a scale drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 9000 kilometers, what should be the diameter of the drawing of the planet?
- 180 millimeters
- 18 millimeters
- 4500000 millimeters
- 9000 millimeters
A: 18 millimeters

Q: Are the two triangles similar? How do you know?
- yes, by SAS
- yes, by SSS
- yes, by AA
- no
A: yes, by AA

Q: Are the triangles similar? How do you know?
- yes, by SAS
- yes, by SSS
- yes, by AA
- no
A: no

Q: Are the two triangles similar? How do you know?
- no
- yes, by SSS
- yes, by AA
- yes, by SAS
A: yes, by AA

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
- ; SSS
- ; SAS
- ; AA
- The triangles are not similar.
A: ; SSS

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
- ; SAS
- ; SAS
- ; SSS
- The triangles are not similar.
A: ; SAS

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
- ; SAS
- ; SAS
- ; SSS
- The triangles are not similar.
A: ; SAS

Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
- ; ASA
- ; SAS
- ; ASA
- The triangles are not similar.
A: ; SAS

Q: Which group contains triangles that are all similar?
A: (a choice with no text)

Q: Which theorem or postulate proves the two triangles are similar?
- AS Postulate
- SSS Theorem
- AA Postulate
- SAS Theorem
A: AA Postulate

Q: Which theorem or postulate proves the two triangles are similar?
- SA Postulate
- AA Postulate
- SSS Theorem
- SAS Theorem
A: AA Postulate

Q: Use the information in the diagram to determine the height of the tree to the nearest foot.
- 80 ft
- 264 ft
- 60 ft
- 72 ft
A: 80 ft

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.
- 20 ft
- 38.4 ft
- 55 ft
- 25 ft
A: 20 ft

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.
- 42.3 m
- 47.4 m
- 73.8 m
- 82.8 m
A: 42.3 m

Q: What similarity statement can you write relating the three triangles in the diagram?
A: (a choice with no text)

Q: What similarity statement can you write relating the three triangles in the diagram?
A: (a choice with no text)

Q: From the similar triangles in the diagram, write a proportion using the ratio .
A: (a choice with no text)

Q: Find the geometric mean of the pair of numbers.

4 and 7
- 28
A: (a choice with no text)

Q: Find the geometric mean of the pair of numbers.

242 and 8
- 44
- 49
- 1872
- 54
A: 44

Q: Find the geometric mean of the pair of numbers.

81 and 4
- 38
- 23
- 28
- 18
A: 18

Q: What are the values of a and b?
A: (a choice with no text)

Q: What are the values of a and b?
A: (a choice with no text)

Q: What are the values of a and b?
- a = 8, b =
- a = 18, b =
- a = 8, b =
- a = 64, b = 80
A: a = 8, b =

Q: Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
- 21
- 80
A: (a choice with no text)

Q: Jason wants to walk the shortest distance to get from the parking lot to the beach.

a. | How far is the spot on the beach from the parking lot?
b. | How far will his place on the beach be from the refreshment stand?
- 24 m; 32 m
- 38 m; 12 m
- 34 m; 16 m
- 24 m; 18 m
A: 24 m; 32 m

Q: Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 2 miles from her home. The football field is 8 miles from the library.

a. | How far is library from the park?
b. | How far is the park from the football field?
- miles; miles
- miles; miles
- 5 miles; 9 miles
- miles; miles
A: miles; miles

Q: What is the value of x?
- 5
- 2.5
- 7.5
- 10
A: 5

Q: What is the value of x, given that ?
- 12
- 6
- 20
- 24
A: 12

Q: What is the value of x, given that ?
- 8
- 11
- 10
- 16
A: 8

Q: What is the value of x, given that ?
A: (a choice with no text)

Q: What is value of x, given that ?
- x = 10
- x = 20
- x = 13
- x = 25.5
A: x = 10

Q: What is the value of x?
A: (a choice with no text)

Q: Plots of land between two roads are laid out according to the boundaries shown. The boundaries between the two roads are parallel. What is the length of Plot 3 along Cheshire Road?
- 74 yards
- yards
- yards
- yards
A: yards

Q: What is the value of x?
- 8
- 12
- 6
- 2
A: 8

Q: bisects , LM = 18, NO = 4, and LN = 10. What is the value of x?
- 7.2
- 45
- 5.43
- 2.22
A: 7.2

Q: What is the value of x to the nearest tenth?
- 1.9
- 2.4
- 13.5
- 11
A: 11

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.
- 76.1 m
- 77.4 m
- 131.4 m
- 132.4 m
A: 76.1 m

Q: An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.
- 44.4 cm, 11.1 cm
- 44.4 cm, 3.2 cm
- 11.1 cm, 4.9 cm
- 24 cm, 4.9 cm
A: 11.1 cm, 4.9 cm