Question

a transformation of △def results in △def. which transformation maps the pre - image to the image? the transformation is a dilation. the transformation is a reflection. the transformation is a rotation. the transformation is a translation.

Explanation:

• Dilation: Changes the size of a figure. But the two triangles \( \triangle DEF\) and \( \triangle D'E'F'\) seem to be of the same size.
• Reflection: Flips a figure over a line. There is no indication of a line of reflection here.
• Rotation: Turns a figure around a point. There is no indication of a center of rotation.
• Translation: Slides a figure without rotating or resizing. The orientation of \( \triangle DEF\) and \( \triangle D'E'F'\) is the same, which is a key characteristic of a translation.

Answer:

The transformation is a translation.