Geometry

Question Analysis

This question involves the concept of skew lines in the context of a 3D figure. The main focus is on applying the definition of skew lines to identify which line is skew to the given line.

Key Concept Explanation:

Skew lines are defined as non-coplanar lines, meaning they do not lie in the same plane, and they do not intersect each other.

Option Analysis

DC is skew to FG. DC is in the plane of the face BCDG and FG is in the plane of the face EFGH. These two planes are distinct. Also, DC and FG do not intersect. Since they are non-coplanar and non-intersecting, DC is skew to FG.

The other options are not skew to FG:

EF: EF and FG share the point F, they intersect. (Not skew)

BC: BC and FG lie in the same plane BCGF, they parallel. (Not skew)