Final answer:
Without the diagram or original proportions of the toy and its projection, we cannot conclusively find the scale factor or the diameter of the moon image on the ceiling from the provided information.
Step-by-step explanation:
To find the scale factor of the dilation and the diameter of the moon image projected onto the ceiling, we need additional information that was supposed to be provided in the original diagram, which is missing in the question. However, based on the choices given, we would typically determine the scale factor by comparing the size of the toy's projection to the actual size of the moon. To find the actual diameter of the projected moon image, we would multiply the diameter of the original moon image in the toy by the scale factor.
Without the necessary information, we cannot definitively select one of the choices (A, B, C, or D). However, if we assume the original toy moon image had a certain size, say x centimeters, and the scale factor was indeed 2, then the projected image would be 2x centimeters in diameter.