Elementary Geometry for College Students (5th Edition)

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

Chapter 8 - Review Exercises - Page 399: 24a

Answer

No, it cannot.

Work Step by Step

The perpendicular bisectors of the sides are not a common length. When they are not a common length, this means that they are not a common distance away from a center point. However, for a circle to be inscribed in a shape, the center of the circle must be a common distance from the center of each side. Thus, the circle cannot be inscribed in a parallelogram.
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