# Unit 3: Similarity

question
A model is made of a car. The car is 5 feet long, and the model is 8 inches long. What is the ratio of the length of the car to the length of the model?
5:8.
question
The measure of two complementary angles is in the ratio 1:9. What are the degree measures of the two angles?
9° and 81°.
question
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cups of salsa?
30.
question
What is the solution to the proportion? 5/9 = m/63
m = 35.
question
Given the proportion a/b = 8/15, which ratio completes the equivalent proportion a/8 = ?
b/15.
question
These polygons are similar but drawn not to scale.What is the value of x?
x = 258.
question
In a diagram of a landscape plan, the scale is 1 cm = 10ft. In the diagram, the trees are 3.3 cm apart. How far apart should the actual trees be planted?
33 ft.
question
In a drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 5,000 km, what should be the diameter of the drawing of the planet?
2,500,000 mm.
question
Are the two triangles similar? How do you know?
No.
question
What is the geometric mean of 3 and 7?
?21.
question
What is the geometric mean of 5 and 45?
15.
1 of 11
question
A model is made of a car. The car is 5 feet long, and the model is 8 inches long. What is the ratio of the length of the car to the length of the model?
5:8.
question
The measure of two complementary angles is in the ratio 1:9. What are the degree measures of the two angles?
9° and 81°.
question
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cups of salsa?
30.
question
What is the solution to the proportion? 5/9 = m/63
m = 35.
question
Given the proportion a/b = 8/15, which ratio completes the equivalent proportion a/8 = ?
b/15.
question
These polygons are similar but drawn not to scale.What is the value of x?
x = 258.
question
In a diagram of a landscape plan, the scale is 1 cm = 10ft. In the diagram, the trees are 3.3 cm apart. How far apart should the actual trees be planted?
33 ft.
question
In a drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 5,000 km, what should be the diameter of the drawing of the planet?