All side lengths of δjkl equal 2 units. a transformation maps δjkl to δj'k'l'. the length of side j'k' is 5 units. is this a rigid transformation? no, there is no one-to-one mapping of all the points of the pre-image to the image. no, at least one segment length is not preserved, making this a nonrigid transformation. yes, the vertices of the pre-image map to the vertices of the image. yes, all of the side lengths of the pre-image are proportionate to the image.