Final answer:
The transformation that the line segment underwent is a translation 6 units down and 1 unit left.
Step-by-step explanation:
The transformation that the line segment underwent can be identified by examining the given options. Let's analyze each option:
A) Dilated by a factor of 1/2: This transformation means that the size of the line segment is reduced by half. However, there is no information given about the size change of the line segment, so we can eliminate this option.
B) Rotated 180° about the origin: This transformation rotates the line segment by 180 degrees around the origin. However, there is no information given about any rotation, so we can eliminate this option.
C) Reflected over the x-axis: This transformation flips the line segment over the x-axis. However, there is no information given about any reflection, so we can eliminate this option.
D) Translated 6 units down and 1 unit left: This transformation shifts the line segment 6 units down and 1 unit to the left. Since this transformation involves a shift, it is the most likely option.
Therefore, the transformation that the line segment underwent is a translation 6 units down and 1 unit left.