Subjects geometry

Parallel Perpendicular 5Dc73E

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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