Dilations & 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 is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In dilations, it determines how much larger or smaller a figure becomes.

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

What is the scale factor if a figure is enlarged from a size of 3 to a size of 6?

Back

The scale factor is 2.

Front

What is the scale factor if a figure is reduced from a size of 8 to a size of 4?

Back

The scale factor is 1/2.

Front

How do you represent a dilation algebraically?

Back

A dilation can be represented as (x, y) --> (kx, ky), where k is the scale factor.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of 3?

Back

The new coordinates will be (3x, 3y).

Front

If point A (8, 12) is dilated to point A' (2, 3), what is the scale factor?

Back

The scale factor is 1/4.

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; there is no change.