Dilations on Coordinate Plane

A dilation is a transformation that alters the size of a figure but maintains its shape, using a scale factor and a center of dilation.

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

The pre-image is the original figure before any transformation has occurred.

The figure undergoes an enlargement.

The figure undergoes a reduction.

The new coordinates are (kx, ky).

The coordinates of B' are (-5, -3).

The scale factor is 1/4.

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

The scale factor can be determined by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the pre-image.