A dilation of a figure is when you change its shape by a dilation factor of k. The initial points can be defined as (x,y), and the dilated points are (kx, ky). There is always a center of dilation, which may or may not be the origin. If k>1, then the dilation results in a larger shape or longer distance of a point from the center of dilation. If k<1, then the shape shrinks, or the point gets closer to the center of dilation. Sam and I looked at cases where we were given the dilation factor and had to dilate the point or shape based on the factor. She then had to find the dilation factor when given a shape and its dilated image. She thought that these types of transformations were easier than rotations.