Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 7 - Section 7.2 - Concurrence of Lines - Exercises - Page 336: 37

Answer

a) Yes b) No

Work Step by Step

a) It does have an incenter, for all of the perpendicular bisectors of the rhombus meet at a point, and a circle centered on this point can brush the sides of the rhombus without leaving the rhombus. b) It does not have an circumcenter, for all of the perpendicular bisectors of the rhombus meet at a point, but a circle centered on this point cannot vertices of the rhombus, for the center is not equidistant from all vertices.
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