Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does scale factor mean?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

How do you determine if a dilation is an enlargement?

Back

A dilation is an enlargement if the scale factor is greater than 1.

Front

How do you determine if a dilation is a reduction?

Back

A dilation is a reduction if the scale factor is less than 1.

Front

If the scale factor is 2, what type of dilation is it?

Back

It is an enlargement.

Front

If the scale factor is 1/3, what type of dilation is it?

Back

It is a reduction.

Front

What is the scale factor if a figure is enlarged from a size of 3 to a size of 9?

Back

The scale factor is 3.

Front

What is the scale factor if a figure is reduced from a size of 12 to a size of 4?

Back

The scale factor is 1/3.

Front

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

Back

Divide the length of a side of the image by the length of the corresponding side of the original figure.

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area is multiplied by k².