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 does a scale factor of one mean?

Back

A scale factor of one means that the image will be the same as the pre-image.

Front

What does a scale factor less than one indicate?

Back

A scale factor less than one indicates that the image will be a reduction of the pre-image.

Front

What does a scale factor greater than one indicate?

Back

A scale factor greater than one indicates that the image will be an enlargement of the pre-image.

Front

How do you dilate a point by a scale factor?

Back

To dilate a point, multiply the coordinates of the point by the scale factor.

Front

If Point B is at (2, 4) and is dilated by a scale factor of 1/2, what are the new coordinates?

Back

The new coordinates are (1, 2).

Front

If Point C is at (3, -6) and is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates are (9, -18).

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

What happens to the shape of a figure during dilation?

Back

The shape of the figure remains the same, but its size changes.

Front

Are similar figures a result of dilation?

Back

Yes, dilation produces similar figures.