5.9 Dilations

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 center point and a scale factor.

Front

What does the scale factor (SF) indicate in a dilation?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

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; it is neither enlarged nor reduced.

Front

How do you find the image of a point under dilation?

Back

To find the image of a point under dilation, multiply the coordinates of the point by the scale factor.

Front

What is the image of the point B (-10, -6) under a dilation with center at the origin and scale factor k = 1/2?

Back

The image is (-5, -3).

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 type of dilation occurs when the scale factor is less than 1?

Back

A dilation with a scale factor less than 1 is called a reduction.

Front

What type of dilation occurs when the scale factor is greater than 1?

Back

A dilation with a scale factor greater than 1 is called an enlargement.

Front

If the scale factor is 0.8, what type of dilation is it?

Back

It is a reduction.

Front

If the scale factor is 2.5, what type of dilation is it?

Back

It is an enlargement.