Scale Factor and Similar Figures Practice

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 actual length from a scale drawing?

Back

To find the actual length, multiply the length in the drawing by the scale factor.

Front

If a scale drawing uses a scale of 2 inches equals 5 yards, what is the scale factor?

Back

The scale factor is 5 yards / 2 inches = 2.5 yards per inch.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal while their corresponding sides are in proportion.

Front

How do you find the width of a reduced photograph?

Back

To find the width of a reduced photograph, use the ratio of the original height to the new height and apply it to the original width.

Front

What is the relationship between the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides in similar figures are proportional to each other.

Front

If a map scale is 2 inches equals 25 miles, how do you find the actual distance for a given measurement on the map?

Back

Multiply the measurement on the map by the scale factor (25 miles / 2 inches) to find the actual distance.

Front

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

Back

Actual Distance = Measurement on Map × Scale Factor.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which helps to establish that the figures are similar.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.