Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
4. Proofs with Perpendicular Lines
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Exercise 22 Page 525

w ∥ x
z ∥ y

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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.