Scale Factors & Scale Drawings

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 size of a scale drawing or model compared to the original object.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure is enlarged.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure is reduced.

Front

What is the formula for finding the area of a rectangle?

Back

Area = length × width.

Front

In a scale drawing, if 1 inch represents 10 feet, how many inches would represent 50 feet?

Back

5 inches.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may be different sizes; their corresponding sides are in proportion.

Front

How do you find a missing side in similar figures?

Back

Set up a proportion using the corresponding sides of the similar figures and solve for the missing side.

Front

What is the area of a square with a side length of 4 inches?

Back

Area = 4 in × 4 in = 16 in².

Front

If a garden has a side length of 25 feet and the scale is 2 inches = 5 feet, what is the side length in the scale drawing?

Back

10 inches.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if their corresponding sides are in the same ratio.