Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.2 - Concurrence of Lines - Exercises - Page 337: 36

Answer

a) Yes b) Yes

Work Step by Step

a) It does have an incenter, for all of the perpendicular bisectors of the pentagon meet at a point, and a circle centered on this point can brush the sides of the pentagon without leaving the pentagon. b) It does have an circumcenter, for all of the perpendicular bisectors of the pentagon meet at a point, and a circle centered on this point can touch every vertex of the pentagon.
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