Question

which transformation maps the pre - image, defg, to the image, defg?
the transformation is a stretch.
the transformation is a reflection.
the transformation is a rotation.
the transformation is a translation.

Explanation:

A translation is a transformation that slides a figure without rotating or flipping it. In this case, the pre - image \(DEFG\) is moved to the image \(D'E'F'G'\) in a way that all points are shifted by the same distance and in the same direction. A stretch changes the size of a figure, a reflection flips it over a line, and a rotation turns it around a point. Since the orientation and size of the figure remain the same (just its position changes), it is a translation.

Answer:

The transformation is a translation.