Geometry

Question Analysis

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

Key Concept Explanation:

Parallel lines are defined as coplanar lines that do not intersect each other, no matter how far they are extended.

Option Analysis

BC is parallel to FG. BC and FG lie in the same plane BCGF. It has the same direction as FG (both horizontal edges) and never intersects FG. It meets both the coplanarity and non-intersection criteria of parallel lines.

The other options are not parallel to FG:

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

DC: DC and FG are in different planes. DC is in the plane of the fac...