Question

the lines intersect to form a rectangular prism. which line is coplanar with \\( \overrightarrow { f g } \\)?

Explanation:

Step1: Recall the definition of coplanar lines

Coplanar lines are lines that lie on the same plane.

Step2: Analyze each option

• For option A: $\overleftrightarrow{AB}$ and $\overleftrightarrow{FG}$ are not on the same plane.
• For option B: $\overleftrightarrow{BC}$ and $\overleftrightarrow{FG}$ are not on the same plane.
• For option C: $\overleftrightarrow{DC}$ and $\overleftrightarrow{FG}$ are not on the same plane.
• For option D: $\overleftrightarrow{DH}$ and $\overleftrightarrow{FG}$ lie on the same plane (the plane that contains the face \(DCGH\) and can be extended to include the relevant parts of the prism's structure where these lines are situated).

Answer:

D. \(\overleftrightarrow{DH}\)