<span>Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor.
A dilation can elongate or diminish a figure. It can
create an image the same as the original by using a scale factor. The scale
factor of a dilation is the ratio of corresponding side lengths. To
dilate a polygon, multiply the coordinates of each vertex by the scale
factor k and connect the vertices.
