## Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole

# Chapter 1 - Section 1.6 - Relationships: Perpendicular Lines - Exercises - Page 50: 24

#### Answer

$\overline{AE}$ = $\overline{AB}$ + $\overline{BC}$ + $\overline{CD}$ + $\overline{DE}$

#### Work Step by Step

"The length of a line segment equals the sum of the lengths of its parts". This means that a if line segment $\overline{AE}$ has points B, C, and D along its length, the length of $\overline{AE}$ is equal to the total length of the smaller line segments made up of points A, B, C, D, and E.

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