Dilations

Front

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

Back

shape; sizes

Front

Definition: The figure before a transformation has occurred.

Back

Pre-image

Front

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

Back

(8,18)

Front

What are the coordinates for the center of dilation?

Back

(3, 1)

Front

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

Back

(-6, 1)

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 image to the distance from the center of dilation to the corresponding point on the pre-image.

Front

If a point (x, y) is dilated by a scale factor of k, what are the coordinates of the image?

Back

(kx, ky)

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

The image will be larger than the pre-image.

Front

What is the effect of a scale factor between 0 and 1 in a dilation?

Back

The image will be smaller than the pre-image.

Front

What is the center of dilation?

Back

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