In the context of describing the relationship between lines AB and CG given that the distance between points A and C is the same as the distance between points B and G, the relationship between the two lines can be analyzed as follows:
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Non-coplanar: This would mean that lines AB and CG do not lie in the same plane.
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Parallel: Lines that never intersect and are always the same distance apart.
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Perpendicular: Lines that intersect at a right angle (90 degrees).
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Skew: Lines that do not intersect and are not parallel, meaning they exist in different planes.
Given that AB and CG are defined as having a certain relationship in distance (the same distance between points A and C and points B and G), and depending on the spatial arrangement, the most likely answer is that they are skew lines. Skew lines do not intersect and aren't parallel, fitting the given conditions of being separated in space while maintaining distance.
Thus, the best answer would be that lines AB and CG are skew.