Suppose you have a pentagon with all five sides equal in length. Must the pentagon be a regular pentagon? Thoroughly explain why and show work.

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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Suppose you have a pentagon with all five sides equal in length. Must the pentagon be a regular pentagon? Thoroughly explain why and show work. 

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