Scale Factor And Corresponding Parts

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Front

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

Back

To find the scale factor, divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

If the scale factor is 2, what does that mean?

Back

It means that the dimensions of the new figure are twice as large as the dimensions of the original figure.

Front

If the scale factor is 1/2, what does that mean?

Back

It means that the dimensions of the new figure are half the size of the dimensions of the original figure.

Front

What is a corresponding part in similar figures?

Back

Corresponding parts are the sides or angles in two similar figures that are in the same relative position.

Front

If ΔABC is scaled to ΔDEF with a scale factor of 3, what is the relationship between their side lengths?

Back

The side lengths of ΔDEF are three times the lengths of the corresponding side lengths of ΔABC.

Front

What is the scale factor from a small model to a larger model if the model's height increases from 2 cm to 8 cm?

Back

The scale factor is 4, since 8 cm ÷ 2 cm = 4.

Front

If a figure is enlarged by a scale factor of 5, what happens to its area?

Back

The area increases by a factor of 5², which is 25 times larger than the original area.

Front

What is the scale factor if the original figure has a side length of 10 cm and the new figure has a side length of 5 cm?

Back

The scale factor is 1/2, since 5 cm ÷ 10 cm = 1/2.

Front

How can you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.