The answer would be dilation <span>Isometric transformation is one in which preserves the shape and size of the pre-image. </span>Dilation is not isometric because it will enlarge the graph, thus changes the image size. Rotation, translation, and tesselation won't change the shape and size.
so we are looking for a transformation that preserves size and shape. All the choices given are transformations. Let’s assume you have a picture. You place it on the table in front of you.
Translation: here you slide the picture around the table. All you can do to it is slide it. As such you will not change it’s size or shape. This transformation is isomorphic.
Rotation:
Here you hold down one corner of the picture and move the rest around that point either clockwise or counter clockwise. This does not change the size or shape of the picture so this too is isomorphic.
Tesselation: in a tesselation you try and fill a whole page with the picture. To do this you duplicate the picture over and again and you might need to slide it around and rotate it but again this won’t change the size or shape.
Dilation- here you shrinknor enlarge the picture. So this is the one that will not prove isometric.
