Dilations

Front

What is a dilation?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center of dilation and a scale factor.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

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

If point A(3, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

A'(6, 12)

Front

If point B(4, 3) is dilated by a scale factor of 3, what are the new coordinates?

Back

B'(12, 9)

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

Can a dilation be both an enlargement and a reduction?

Back

Yes, a dilation can be either an enlargement (scale factor > 1) or a reduction (scale factor < 1).

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged.

Front

How do you determine the coordinates of a dilated point?

Back

Multiply each coordinate of the original point by the scale factor.