**PRACTICE** Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the proportional relationship between two similar figures or objects.

Front

If a scale drawing has a scale of 1 cm:4 ft, how do you find the actual length of an object?

Back

Multiply the length in centimeters by the scale factor (4 ft) to find the actual length in feet.

Front

What is the scale factor from a smaller triangle to a larger triangle if the smaller triangle's side is 3 cm and the larger triangle's corresponding side is 6 cm?

Back

The scale factor is 2 (6 cm ÷ 3 cm).

Front

How do you convert a distance on a map to actual distance using a scale?

Back

Use the formula: Actual Distance = Distance on Map × (Scale Factor).

Front

If a blueprint shows a room length of 12.75 inches and the scale is 1.5 inches = 2 feet, what is the actual length of the room?

Back

The actual length is 17 feet.

Front

What is the actual distance if the distance on a map is 4.125 inches and the scale is 2 inches = 40 miles?

Back

The actual distance is 82.5 miles.

Front

How do you find the scale factor between two similar shapes?

Back

Divide the length of a side of the larger shape by the corresponding side of the smaller shape.

Front

What does it mean if two shapes are similar?

Back

Two shapes are similar if they have the same shape but different sizes, and their corresponding sides are in proportion.

Front

If a car in a scale drawing is 3 cm long and the scale is 1 cm:4 ft, what is the actual length of the car?

Back

The actual length of the car is 12 feet.

Front

What is the relationship between scale factor and proportional relationships?

Back

Scale factors create proportional relationships between the dimensions of similar figures.