Presumably you're located in AK so the first transformation in the dropdown should be correct. Another thing that could shift the lines a bit if I you're using UTM and your data is close to a UTM Zone edge. Capture scale of the data could also explain it being off somewhat too. For example, the data was captured at 1:250,000 but you're zoomed into 1:24000.
Do you see the same data shift in ArcMap?