Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a scale factor.

Front

What does a scale factor greater than 1 indicate?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

It indicates a reduction of the figure.

Front

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

Back

Each dimension of the figure is multiplied by 2, making it twice as large.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 1/2, making it half as large.

Front

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

Back

A negative scale factor reflects the figure across the origin and changes its size.

Front

How do you determine the scale factor of a dilation?

Back

Divide the length of a side of the dilated image by the length of the corresponding side of the original figure.

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

True or False: A dilation can change the shape of a figure.

Back

False. A dilation only changes the size, not the shape.

Front

What happens to the angles of a figure during dilation?

Back

The angles remain the same during a dilation.