Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 4 - Review Exercises - Page 207: 27

Answer

1. It is given that BE and FD are congruent and that EF and FD are congruent. 2. Thus, BE and EF are congruent by the transitive property. 3. DE is the median of ADC, so E is the midpoint of AC. 4. Thus, AE and EC are congruent. 5. Since the diagonals are of a quadrilateral and bisect each other (in other words, split each other into two), it is a parallelogram.
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