Dilations

Front

What is a dilation in geometry?

Back

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

Front

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

Back

False

Front

What is the scale factor in a dilation?

Back

A number that scales, or multiplies, the coordinates of a figure to create a new figure.

Front

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

Back

The figure enlarges.

Front

If the scale factor is between 0 and 1, what happens to the figure?

Back

The figure reduces.

Front

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

Back

It reflects the figure across the center of dilation and scales it.

Front

What is the coordinate of the image of point B (4,9) under a dilation with center at the origin and scale factor r = 2?

Back

(8,18)

Front

What scale factor will result in a congruent image?

Back

1

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.