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 3 Page 523

Consider the Lines Perpendicular to a Transversal Theorem.

Yes

Practice makes perfect
The expression b ∥ a says that b and a are parallel. Let's draw the diagram and then we can reason about it.


According to the Lines Perpendicular to a Transversal Theorem, in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

From the diagram, we see that a and b are both perpendicular to d. Therefore we can say that b ∥ a.