Dilations

Front

What is a dilation?

Back

A transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does a dilation produce?

Back

A similar figure.

Front

Does a dilation produce a congruent figure?

Back

No, a dilation does not produce a congruent figure.

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 is an enlargement.

Front

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

Back

The dilation is a reduction.

Front

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

Back

The figure remains unchanged.

Front

How do you dilate a point (x, y) by a scale factor of k?

Back

Multiply both coordinates by k: (kx, ky).

Front

What is the scale factor in a dilation?

Back

A number that determines how much the figure is enlarged or reduced.

Front

If Point A (2, 3) is dilated by a scale factor of 2, what are the new coordinates?

Back

(4, 6).