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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 32 Page 526

Use the Lines Perpendicular to a Transversal Theorem and Perpendicular Transversal Theorem.

Rectangle

Practice makes perfect

According to the Lines Perpendicular to a Transversal Theorem, if two lines are perpendicular to the same line then they are parallel to each other. Therefore, a and b are parallel. Let's illustrate this.

Drawing line d, we know that it is parallel to line c. Since it's parallel to line c we can, by the Perpendicular Transversal Theorem, say that line d is perpendicular to both a and b.

As we can see, the figure is a rectangle with sides x and y.

Subchapter links

Communicate Your Answer p.519

Monitoring Progress p.520-523

Exercises p.524-526