body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

Continue to next subchapter

Exercise 15 Page 535

Consider the Lines Perpendicular to a Transversal Theorem.

a and b
l, m, and n

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. Let's first look at m and n. These lines are both perpendicular to a so m and n have to be parallel.

When it comes to l, we see that this line is perpendicular to b as is n. Therefore, l has to be parallel with n and m as well.

Finally, we can also see that n is perpendicular to both a and b. This means that a and b have to be parallel.

Let's summarize what we found. a and b are parallel l, m, and n are parallel

Subchapter links

1 Pairs of Lines and Angles p.534

2 Parallel Lines and Transversals p.534

3 Proofs with Parallel Lines p.535

4 Proofs with Perpendicular Lines p.535

5 Using Parallel and Perpendicular Lines p.536