Some types of transformations producetranslations, and others do not. Thetransformation (x, y) → (2x, 2y) is shown inFigure 5.1-3 for □ GHJK. Notice that point Gdoes not move, but the other points move awayfrom the origin. The result is a square twice aslarge as the preimage. For the followingreasons, this transformation is not a translation:the vertices do not all follow the same vector,and the image is not the same size as thepreimage