5. Using Parallel and Perpendicular Lines
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Consider the Slopes of Perpendicular Lines Theorem.
See solution.
If two lines, a and b, are horizontal lines, and they are cut by any vertical transversal c, then a⊥ c and b⊥ c by the Slopes of Perpendicular Lines Theorem. Therefore, a ∥ b by the Lines Perpendicular to a Transversal Theorem.