Based on your description, where the preimage polygon ABCD is shown and the image polygon A'B'C'D' is positioned to the right of the first image with all points in the same position, the type of transformation can be determined.
Since the image (A'B'C'D') is simply shifted to the right of the original (ABCD) without any flipping or rotation, this indicates a horizontal translation.
Therefore, the type of transformation is a Horizontal translation.