Scaled Copies and 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 how much larger or smaller a scaled copy is compared to the original.

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 scaled figure by the length of the corresponding side of the original figure.

Front

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

Back

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

Front

What is a scaled copy?

Back

A scaled copy is a figure that is similar to another figure but is a different size, created using a scale factor.

Front

If ΔABC is scaled to ΔDEF with a scale factor of 3, what is the length of a side in ΔDEF if the corresponding side in ΔABC is 5 units?

Back

15 units (5 units x 3 = 15 units).

Front

What does it mean for two lines to correspond in similar figures?

Back

Corresponding lines in similar figures are lines that are in the same relative position in each figure.

Front

If line CB corresponds with line RQ, what can you infer about their lengths?

Back

The lengths of line CB and line RQ are proportional based on the scale factor.

Front

How do you determine which side length corresponds to another in similar figures?

Back

You can determine corresponding side lengths by identifying the same position in each figure and using the scale factor.

Front

If the scale factor is 1/2, how does the size of the scaled figure compare to the original?

Back

The scaled figure is half the size of the original figure.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are always equal.