The question asks to identify all the lines that are parallel to line LH in the given 3D diagram.

From the diagram, line LH is along the top right edge of the rectangular prism. To identify parallel lines, we need to look for other lines that have the same direction or orientation as LH and are on different sides or faces of the figure.

• Line CD is on the top face and is parallel to line LH because it follows the same orientation along the top face of the prism.
• Line FG is on the front face and has the same direction as LH, so it is also parallel.
• Line DG is along the right face of the figure and shares the same direction as LH.

Thus, the correct answer should include CD, LH, FG, and DG, which corresponds to the first option in the list.

Would you like further details on parallel lines or have any additional questions?

Here are 5 related questions to consider:

1. What are perpendicular lines in the context of this diagram?
2. Can you name other sets of parallel lines in this 3D figure?
3. How can we prove two lines are parallel using geometric properties?
4. What is the difference between skew lines and parallel lines?
5. Can two lines be parallel but not on the same plane?

Tip: To quickly identify parallel lines in 3D figures, look for edges that follow the same direction along different planes but do not intersect.