Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 4 - Review Exercises - Page 206: 25

Answer

1. We are told that AF is congruent to CE. 2. AD and CB are congruent, for opposite sides of parallelograms are congruent. 3. Since opposite angles of parallelograms are congruent and given that AC bisects angle A and angle C, angles 1 and 2 are congruent. 4. By SAS, AFD is congruent to BEC. 5. CPCTC, so angle AFD and angle BEC are the same angle. 6. Since alternate exterior angles are only congruent when lines are parallel, DF and EB are parallel.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.