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 keeps its shape the same.

Tags

CCSS.8.G.A.3

Front

What is a scale factor?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

If the scale factor is greater than 1, what type of dilation is it?

Back

It is an enlargement.

Tags

CCSS.8.G.A.3

Front

If the scale factor is less than 1, what type of dilation is it?

Back

It is a reduction.

Tags

CCSS.8.G.A.3

Front

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

Back

The scale factor is 1/3.

Tags

CCSS.7.G.A.1

Front

How do you determine if a dilation is an enlargement or reduction?

Back

Compare the original size to the new size using the scale factor; if the scale factor is greater than 1, it's an enlargement; if less than 1, it's a reduction.

Tags

CCSS.8.G.A.3

Front

What is the scale factor between two similar figures if the original figure has a length of 5 and the new figure has a length of 10?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

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.

Tags

CCSS.7.G.A.1

Front

What is the scale factor between RSTU and R'S'T'U' if RSTU has a length of 6 and R'S'T'U' has a length of 2?

Back

The scale factor is 1/3.

Tags

CCSS.7.G.A.1

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 1/2, what happens to the lengths of the sides?

Back

The lengths of the sides are halved.

Tags

CCSS.8.G.A.3