Similarity and Dilations Review

Front

What is a dilation in geometry?

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

Back

Multiplication.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the figure are multiplied by 2.

Front

What is the center of dilation?

Back

The point from which the figure is enlarged or reduced.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

A'(6, 9).

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the original figure to the distance from the center to the corresponding point on the dilated figure.

Front

If B' is at (6, -2) after a dilation with a scale factor of 1/2, where is B located?

Back

B is at (12, -4).

Front

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

Back

The figure is reduced in size.

Front

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

Back

The figure is enlarged.