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

Define scale factor.

Back

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

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

What is the scale factor if A'B' = 20 and AB = 100?

Back

The scale factor is 1/5.

Front

If the scale factor to map A'B'C' onto ABC is 1/4, what is the scale factor to map ABC back onto A'B'C'?

Back

The scale factor is 4.

Front

What is the scale factor from a small shape to a big shape if the big shape is twice the size of the small shape?

Back

The scale factor is 2.

Front

What is the scale factor from ΔDEF to ΔABC if ΔABC is twice the size of ΔDEF?

Back

The scale factor is 2.

Front

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

Back

Divide the length of a side of the larger figure by the corresponding side of the smaller 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.