1. **Stating the problem:** We are given two lines, MN and PO, and we need to determine the relationship between them: whether they are perpendicular, parallel, not parallel, or not horizontal.
2. **Understanding the problem:** Lines are:
- **Perpendicular** if their slopes multiply to $-1$.
- **Parallel** if their slopes are equal.
- **Not parallel** if their slopes are different.
- **Horizontal** if their slope is $0$.
3. **Analyzing the lines:** From the description:
- Line MN slopes downward from top-left (M) to bottom-center (N), so its slope is negative.
- Line PO slopes downward from top-right (P) to bottom-center (O), so its slope is also negative.
4. **Conclusion:** Since both lines slope downward and appear to converge, their slopes are negative but not equal (otherwise they would be parallel). They are not perpendicular because their slopes are not negative reciprocals.
Therefore, the correct statement is:
**C. They are not parallel**.
This also means they are not horizontal (which would require slope $0$), so option D is true but less precise than C.
Final answer: **C. They are not parallel**.
Line Relationship 05850F
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