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:

To determine the transformation, we analyze each option:

• A stretch changes the size, but the pre - image and image appear to have the same size, so it's not a stretch.
• A reflection is a flip over a line, and the orientation of the figure (like the position of vertices and the direction of the shape) suggests a flip. The pre - image DEFG and image D'E'F'G' seem to be mirror images, which is characteristic of a reflection.
• A rotation would turn the figure around a point, but the orientation change here is more consistent with a reflection than a rotation.
• A translation is a slide, and the figure does not seem to be just slid; the orientation has changed in a way consistent with a flip (reflection) rather than a slide.

Answer:

The transformation is a reflection.