Question

line relationships think of each segment in the diagram as part of a line. fill in the blank with parallel, skew, or perpendicular. 10. $overleftrightarrow{de}$, $overleftrightarrow{ab}$, and $overleftrightarrow{gc}$ are ?.

Explanation:

Step1: Recall line - relationship definitions

Parallel lines are lines in the same plane that never intersect. Skew lines are non - coplanar lines that do not intersect. Perpendicular lines intersect at a right angle.

Step2: Analyze the position of \(\overleftrightarrow{DE}\), \(\overleftrightarrow{AB}\), and \(\overleftrightarrow{GC}\) in the prism

In a rectangular prism, \(\overleftrightarrow{DE}\), \(\overleftrightarrow{AB}\), and \(\overleftrightarrow{GC}\) are in the same plane (parallel to the bases of the prism) and they do not intersect.

Answer:

parallel