Question

A figure undergoes a sequence of transformations that include dilations. The figure and its final image are congruent. Explain how this can happen.

Answer 1

because it includes dilations, at the end the figure ends up being congruent

Answer 2

For every dilatation there must be an equal dilatation applied in the opposite direction and with the opposite effect

Explanation:

The figure and the end result can only be congruent if an even number of dilations was applied and for each dilation applied to the figure, a dilation with the opposite effect was applied also.