Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-1 Lines and Angles - Practice and Problem-Solving Exercises - Page 144: 13

Answer

$\overset\longleftrightarrow{GB} \parallel \overset\longleftrightarrow{DH}$ $\overset\longleftrightarrow{CL} \parallel \overset\longleftrightarrow{DH}$ $\overset\longleftrightarrow{JE} \parallel \overset\longleftrightarrow{DH}$ $\overset\longleftrightarrow{FA} \parallel \overset\longleftrightarrow{DH}$

Work Step by Step

$\overset\longleftrightarrow{GB}$ and $\overset\longleftrightarrow{DH}$ both lie on plane $DBG$ and will never intersect, so they are parallel. $\overset\longleftrightarrow{CL}$ and $\overset\longleftrightarrow{DH}$ both lie on plane $DCL$ and will never intersect, so they are parallel. $\overset\longleftrightarrow{JE}$ and $\overset\longleftrightarrow{DH}$ both lie on plane $DJE$ and will never intersect, so they are parallel. $\overset\longleftrightarrow{FA}$ and $\overset\longleftrightarrow{DH}$ both lie on plane $DFA$ and will never intersect, so they are parallel.
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