Decide by yourself whether each of the following is true or false. Check your answers with the solution afterwards. (a) Two lines perpendicular to the same plane are parallel. (b) Two lines parallel to the same plane are parallel. (c) Two planes perpendicular to the same (third) plane are parallel. (d) Two planes parallel to the same (third) plane are parallel. (e) Two lines perpendicular to the same (third) line are parallel (f) Two lines parallel to the same (third) line are parallel. (g) Two planes either intersect or are parallel (h) Two planes perpendicular to the same line are parallel. (i) Two planes parallel to the same line are parallel.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I need your help with the True/False questions attached. Just give the answers as T or F. Thanks! 

6. Decide by yourself whether each of the following is true or false. Check
your answers with the solution afterwards.
(a) Two lines perpendicular to the same plane are parallel.
(b) Two lines parallel to the same plane are parallel.
(c) Two planes perpendicular to the same (third) plane are parallel.
(d) Two planes parallel to the same (third) plane are parallel.
(e) Two lines perpendicular to the same (third) line are parallel
(f) Two lines parallel to the same (third) line are parallel.
(g) Two planes either intersect or are parallel
(h) Two planes perpendicular to the same line are parallel.
(i) Two planes parallel to the same line are parallel.
Transcribed Image Text:6. Decide by yourself whether each of the following is true or false. Check your answers with the solution afterwards. (a) Two lines perpendicular to the same plane are parallel. (b) Two lines parallel to the same plane are parallel. (c) Two planes perpendicular to the same (third) plane are parallel. (d) Two planes parallel to the same (third) plane are parallel. (e) Two lines perpendicular to the same (third) line are parallel (f) Two lines parallel to the same (third) line are parallel. (g) Two planes either intersect or are parallel (h) Two planes perpendicular to the same line are parallel. (i) Two planes parallel to the same line are parallel.
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