When a figure undergoes a dilation (enlargement or reduction), the corresponding sides are proportional, and the angles are equal. This transformation results in similar figures. So, the correct option is "dilation, similar."
A dilation is a transformation that changes the size of a figure while maintaining its shape.
When a figure undergoes dilation, corresponding sides are scaled by a constant factor, and angles remain unchanged. If the scaling factor is the same for all sides, the figures are considered similar. Similar figures have proportional sides and equal angles.
Therefore, when dilation occurs, the original and the image are similar. This relationship holds true regardless of whether the dilation results in an enlargement or reduction of the figure.
In summary, dilation leads to similarity between the original and image due to proportional scaling.
Dilation, similar is the right choice.