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.

Tags

CCSS.8.G.A.3

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the dilated figure is compared to the original figure.

Tags

CCSS.8.G.A.3

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure reduces in size.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a shape is enlarged from a size of 2 to a size of 6?

Back

The scale factor is 3.

Tags

CCSS.7.G.A.1

Front

How do you express a dilation algebraically?

Back

A dilation with scale factor k can be expressed as (x, y) goes to (kx, ky).

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the original point (4, 6) is dilated to (8, 12)?

Back

The scale factor is 2.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size.

Tags

CCSS.8.G.A.3

Front

How do you determine the scale factor from a dilated point (x', y') to the original point (x, y)?

Back

The scale factor k can be found using the formula k = x'/x or k = y'/y.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the point (8, 12) is dilated to (2, 3)?

Back

The scale factor is ¼.

Tags

CCSS.8.G.A.3