In the image, the length of the segment will be 120 units.
Explanation:
Whatever may be transformation, either rotation, reflection or translation, the length the line segment will not change.
Here one segment with 120 units and other segment with 240 units is rotated 90 degrees about the origin and then it is translated 50 units up, we will get the image of the segment with the same size.
In the image, the length of the segment will be 120 units.