a) Describe how the object is translated (the brown one is the preimage and the pink one is the image).[br]b) Is the image congruent to the pre-image?[br][br]Transformations which produce an image congruent to the preimage are called "rigid transformations." That means if I transform (or move) a shape, but all of the measurements stay the same, it's a rigid transformation.[br][br]Is translation always a "rigid translation?" Be prepared to discuss why or why not.
If you're stuck, take a look at a point on the preimage and a corresponding point on the image (say, A and A'). How far did it move, and in what direction? Is this the same for all of the points?[br][br]Two shapes are congruent if they are identical in every measurement, though they don't have to be in the same position or orientation. Did the shape change from preimage to image? If not, then the two are congruent.