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

If a map scale states that 2 inches equals 25 miles, how do you find the actual distance represented by a distance on the map?

Back

To find the actual distance, multiply the distance on the map by the scale factor. For example, if the distance on the map is 19.2 inches, the actual distance is 19.2 inches * (25 miles / 2 inches) = 240 miles.

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. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you determine the length of a side in similar figures?

Back

To determine the length of a side in similar figures, use the ratio of the lengths of corresponding sides. If the ratio of the sides is known, you can set up a proportion to find the unknown length.

Front

What is the new width of a rectangle if its original width is 5 cm and it is enlarged by a scale factor of 4?

Back

The new width is 5 cm * 4 = 20 cm.

Front

What is the relationship between the sides of similar triangles?

Back

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

Front

If ΔLMN ~ ΔRST, which side corresponds to side RS?

Back

Side NM corresponds to side RS.

Front

What is the definition of proportionality in geometry?

Back

Proportionality in geometry refers to the relationship between two quantities where their ratio remains constant.

Front

How can you identify similar figures?

Back

You can identify similar figures by checking if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the scale factor if a rectangle's length is doubled?

Back

The scale factor is 2.