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.

Front

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

Back

To calculate the scale factor, divide the length of a side of the larger shape by the corresponding side of the smaller shape.

Front

If the scale factor is 2/3, what does this mean?

Back

This means that the dimensions of the new shape are 2/3 the size of the original shape.

Front

What is an enlargement in terms of scale drawings?

Back

An enlargement is when a scale drawing is larger than the original object.

Front

What is a reduction in terms of scale drawings?

Back

A reduction is when a scale drawing is smaller than the original object.

Front

If a map scale is 1 inch = 200 miles, how far is 4 inches on the map?

Back

800 miles (4 inches x 200 miles/inch = 800 miles).

Front

What is the formula to find the actual distance using a scale?

Back

Actual Distance = Map Distance x Scale Factor.

Front

If a model car is made at a scale of 1 inch = 2 feet, how long is a 9-foot car in the model?

Back

4.5 inches (9 feet ÷ 2 feet/inch = 4.5 inches).

Front

What is the scale factor if a shape is enlarged from 3 cm to 6 cm?

Back

The scale factor is 2 (6 cm ÷ 3 cm = 2).

Front

How do you find the actual distance if the scale is 1 inch = 300 miles and the distance on the map is 3 inches?

Back

900 miles (3 inches x 300 miles/inch = 900 miles).