Dilations

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 happens to a figure when it is dilated by a scale factor greater than 1?

Back

The figure is enlarged.

Front

What happens to a figure when it is dilated by a scale factor less than 1?

Back

The figure is reduced.

Front

What is the center of dilation?

Back

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

Front

If a triangle is dilated by a scale factor of 1/2, what type of figure is produced?

Back

A similar figure.

Front

If the original triangle has vertices at (2, 3), (4, 5), and (6, 7), what are the new coordinates after a dilation by a scale factor of 2?

Back

(4, 6), (8, 10), (12, 14).

Front

True or False: A dilation always produces a congruent figure.

Back

False. A dilation produces a similar figure, not necessarily congruent.

Front

What is the new image of a point (3, 4) after a dilation by a scale factor of 3?

Back

(9, 12).

Front

If a figure is dilated about the origin, how do you find the new coordinates?

Back

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

Front

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

Back

The figure remains unchanged.