Scaled Copies and Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a scaled copy is compared to the original figure.

Front

If the scale factor is 4, what happens to the lengths of the sides of a figure?

Back

Each length of the sides of the figure is multiplied by 4.

Front

What is a scaled copy?

Back

A scaled copy is a figure that is similar to the original figure but is either larger or smaller, created by multiplying the original dimensions by a scale factor.

Front

How do you find the length of a side in a scaled copy?

Back

Multiply the corresponding side length of the original figure by the scale factor.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides in a scaled copy with a scale factor of 2?

Back

The lengths of the sides would be 6, 8, and 10.

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 sides are in proportion.

Front

If the original figure has a side length of 10 and the scale factor is 1/2, what is the length of the corresponding side in the scaled copy?

Back

The length of the corresponding side in the scaled copy is 5.

Front

What is the relationship between corresponding sides in similar figures?

Back

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

Front

If a rectangle has a length of 8 and a width of 4, what are the dimensions of a scaled copy with a scale factor of 3?

Back

The dimensions of the scaled copy would be 24 (length) and 12 (width).

Front

What is the scale factor if the original figure has a side length of 5 and the scaled copy has a side length of 15?

Back

The scale factor is 3.