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: 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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