Dilations and Scale Factor Practice

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, the dimensions of a figure during a dilation.

Front

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

Back

An enlargement occurs.

Front

If a 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 to twice its size?

Back

The scale factor is 2.

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 0.5.

Front

How do you express a dilation mathematically?

Back

A dilation can be expressed as (x, y) → (kx, ky), where k is the scale factor.

Front

What happens to the coordinates of a point (3, 4) when dilated by a scale factor of 2?

Back

The new coordinates will be (6, 8).

Front

What happens to the coordinates of a point (3, 4) when dilated by a scale factor of 0.5?

Back

The new coordinates will be (1.5, 2).

Front

What is the effect of a negative scale factor on a dilation?

Back

A negative scale factor reflects the figure across the origin and scales it.