Dilations

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 is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

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

Back

The figure is enlarged.

Front

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

Back

The figure is reduced.

Front

What is the center of dilation?

Back

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

Front

Is dilation a rigid motion?

Back

No, dilation is not a rigid motion because it changes the size of the figure.

Front

What is an example of a dilation with a scale factor of 2?

Back

If a triangle has vertices at (1, 1), (2, 2), and (3, 3), a dilation with a scale factor of 2 will move these points to (2, 2), (4, 4), and (6, 6).

Front

What is an enlargement in terms of dilation?

Back

An enlargement is a type of dilation where the scale factor is greater than 1, resulting in a larger figure.

Front

What is a reduction in terms of dilation?

Back

A reduction is a type of dilation where the scale factor is less than 1, resulting in a smaller figure.

Front

If a figure is dilated with a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.