Scale Factor Practice

What is a scale factor?

• A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to the original.

• A scale factor is a measurement of the angle in a geometric figure.

• A scale factor is a term used to describe the color of a shape.

• A scale factor is a type of mathematical operation that adds two numbers together.

If a map shows a distance of 2 inches representing 100 miles, what is the scale?

• 1 inch = 25 miles

• 1 inch = 50 miles

• 1 inch = 75 miles

• 1 inch = 100 miles

What does a scale factor greater than 1 signify?

• It signifies that the new figure is an enlargement of the original figure.

• It signifies that the new figure is a reduction of the original figure.

• It signifies that the new figure is identical to the original figure.

• It signifies that the new figure is rotated compared to the original figure.

If a map scale is 1 inch = 42 miles, how far apart are two cities that are 10 inches apart on the map?

• 320 miles

• 400 miles

• 420 miles

• 480 miles

What is the relationship between scale factors and proportionality?

• Scale factors have no effect on proportionality.

• Scale factors maintain proportionality between corresponding sides of similar figures.

• Scale factors only apply to three-dimensional figures.

• Scale factors can change the shape of a figure without affecting proportionality.

What is the scale factor if a rectangle is reduced from 8 cm to 4 cm?

• 1/4 (2 cm / 8 cm)

• 1/2 (4 cm / 8 cm)

• 3/4 (6 cm / 8 cm)

• 1 (8 cm / 8 cm)

If a scale factor is 1/4, what happens to the dimensions of the original figure?

• The dimensions of the original figure are doubled.

• The dimensions of the original figure remain the same.

• The dimensions of the original figure are reduced to one-fourth of their size.

• The dimensions of the original figure are increased by four times.

What is the scale factor if a triangle is enlarged from a size of 3 cm to 6 cm?

• 1

• 1.5

• 2

• 3

If a figure has a scale factor of 3, what is the relationship between the areas of the original and new figure?

• The area of the new figure is 3 times larger than the area of the original figure.

• The area of the new figure is 6 times larger than the area of the original figure.

• The area of the new figure is 9 times larger than the area of the original figure (3^2 = 9).

• The area of the new figure is equal to the area of the original figure.

How do you calculate the actual distance using a map scale?

• Add the distance on the map to the scale factor to find the actual distance.

• Multiply the distance on the map by the scale factor to find the actual distance.

• Subtract the scale factor from the distance on the map to find the actual distance.

• Divide the distance on the map by the scale factor to find the actual distance.