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 20 Page 525

Consider the Lines Perpendicular to a Transversal Theorem

We cannot say anything.
Explanation: See solution.

Practice makes perfect
It sure looks like a, and b are parallel as do c and d. However, we cannot be sure of this. For example, if we are going to be sure that c and d are parallel, they would have to be perpendicular to the same line. We would need to know that they are perpendicular to a or b.


The same reasoning applies to determining if a and b are parallel. But we do not know this. Since we have no information about the unknown angles, the figure could be as follows: