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 maintains its shape, using a scale factor.

Front

What is a scale factor?

Back

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

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

How do you calculate the new length of a side after dilation?

Back

Multiply the original length by the scale factor.

Front

What is the scale factor if the original length is 36 and the new length is 9?

Back

The scale factor is 1/4.

Front

If AC = 64 and OA = 36, what is A'C' if OA' = 9?

Back

A'C' = 16.

Front

What is the scale factor from ΔDEF to ΔABC if the lengths are in the ratio 2:1?

Back

The scale factor is 2.

Front

If AB = 3 and the scale factor is 4, what is A'B'?

Back

A'B' = 12.

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.