sat-dog

Choice D is correct. It's given that triangle $ABC$ is similar to triangle $XYZ$, such that $A$, $B$, and $C$ correspond to $X$, $Y$, and $Z$, respectively. Therefore, side $AB$ corresponds to side $XY$. Since the length of each side of triangle $XYZ$ is $2$ times the length of its corresponding side in triangle $ABC$, it follows that the measure of side $XY$ is $2$ times the measure of side $AB$. Thus, since the measure of side $AB$ is $16$, then the measure of side $XY$ is $2\left(16\right)$, or $32$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the measure of side $AB$, not side $XY$.

Choice C is incorrect and may result from conceptual or calculation errors.