4. Proofs with Perpendicular Lines
Sign In
Consider the Lines Perpendicular to a Transversal Theorem.
w ∥ x
z ∥ y
According to the Lines Perpendicular to a Transversal Theorem, lines that are perpendicular to the same line are parallel to each other. In this case, both w and x are perpendicular to the transversal z. Therefore, we can say with certainty that w and x are parallel.
Note that we cannot say anything about line v since we do not know the angle measure between z and v or between y and v.
Additionally, we can say that z and y are parallel, as both of these lines are perpendicular to w.