No, it is not true that Samantha could have created line G by rotating the line y=-1/2x counter-clockwise 54 degrees around the origin (0,0).
The line y=-1/2x has a slope of -1/2, which means that it makes an angle of approximately -26.57 degrees with the positive x-axis.
If you rotate this line counter-clockwise by 54 degrees, the new line will make an angle of approximately 27.43 degrees with the positive x-axis.
This new line will have a different slope than the original line y=-1/2x. Therefore, it is not possible to create line G by rotating the line y=-1/2x counter-clockwise 54 degrees around the origin.