Final answer:
The transformation that results in a similar figure with a greater perimeter is a dilation by a scale factor of 2, which doubles the size and the perimeter of the original figure.
Step-by-step explanation:
The student's question asks which transformation results in a figure that is similar to the original figure but has a greater perimeter. Among the given options, dilation by a scale factor of 2 will produce a figure with twice the size of the original figure's dimensions, which in turn leads to a perimeter that is twice as large.
Options 1 and 2, involving scale factors of 0.25 and 0.5, would actually result in smaller figures with smaller perimeters. Option 3, with a scale factor of 1, would result in a figure that is congruent to the original figure, meaning its perimeter would remain unchanged.