Dilations

Front

What is a dilation?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Front

What happens when a dilation has a scale factor greater than one?

Back

The dilation results in an enlargement of the figure.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

What is the scale factor if the original length is 4 and the new length is 8?

Back

The scale factor is 2.

Front

If a dilation has a scale factor less than one, what type of transformation occurs?

Back

A reduction occurs.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Front

If a figure is dilated with a scale factor of 0.5, what happens to its area?

Back

The area of the figure is reduced to one-fourth of its original area.

Front

How do you find the new coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

A negative scale factor reflects the figure across the center of dilation and changes its size.