1. **State the problem:** Determine if the lines EG and FH are parallel, perpendicular, or intersecting. 2. **Recall the definitions:** - Parallel lines have the same slope and never intersect. - Perpendicular lines have slopes that are negative reciprocals of each other. - Intersecting lines cross at exactly one point. 3. **Analyze lines EG and FH:** - Both lines run diagonally from top-left to bottom-right. - Since they have the same direction and slope, they are parallel. 4. **Conclusion:** Lines EG and FH are parallel lines. Final answer: **parallel lines**