Elementary Geometry for College Students (5th Edition)

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

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 106: 35

Answer

Joining midpoints seems to construct the polygon's center.

Work Step by Step

I used intuition and a diagram, as per the problem's dictate.
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