Final answer:
The line segment was reflected over the x-axis.
Step-by-step explanation:
The given options for the transformation of the line segment are:
- A. The line segment was dilated by a factor of 2.
- B. The line segment was rotated 180 degrees about the origin.
- C. The line segment was reflected over the x-axis.
- D. The line segment was translated 6 units down and 1 unit left.
To determine which transformation occurred, we can analyze each option:
A. Dilations change the size of an object, but the description of the transformation does not mention any change in size.
B. Rotations involve spinning an object around a point. The description mentions no rotation.
C. Reflections involve flipping an object over a line. The description matches a reflection over the x-axis.
D. Translations involve sliding an object in a straight line. The description matches a translation 6 units down and 1 unit left.
Therefore, the correct transformation that occurred is C. The line segment was reflected over the x-axis.