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Big Ideas Math Integrated I, 2016

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Big Ideas Math Integrated I, 2016 View details

4. Proofs with Perpendicular Lines

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Exercise 19 Page 525

Consider the Lines Perpendicular to a Transversal Theorem.

m and n are parallel, see solution

Practice makes perfect

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 m and n are perpendicular to the transversal q. Therefore, we can with certainty say that m and n are parallel.

When it comes to the other lines, even though it looks like there are more parallel lines, we cannot know if they actually are. Just because m and n are parallel, it does not mean that any of the other lines are. Since we have no information about the unknown angles, the figure could actually be as follows:

Subchapter links

Communicate Your Answer p.519

Monitoring Progress p.520-523

Exercises p.524-526