Parallel Perpendicular 5Dc73E
1. **State the problem:** Determine which lines among A, B, and C are parallel or perpendicular based on their slopes.
2. **Recall the rules:**
- Lines are **parallel** if they have the **same slope**.
- Lines are **perpendicular** if the product of their slopes is **-1**.
3. **Analyze the lines:**
- Lines A and B both descend from left to right with similar angles, so their slopes are approximately equal and negative.
- Line C descends more steeply, so its slope is more negative than A and B.
- Line D ascends from left to right, roughly perpendicular to the descending lines.
4. **Conclusion:**
- Since A and B have the same slope, **A ∥ B**.
- None of the pairs A ∥ C or B ∥ C have the same slope, so they are not parallel.
- Line D is perpendicular to the descending lines, but since the question only asks about A, B, and C, no perpendicular pairs exist among them.
**Final answers:**
- Parallel lines: A ∥ B
- Perpendicular lines: None among A, B, and C