Elementary Geometry for College Students (5th Edition)

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

Chapter 3 - Review Exercises - Page 173: 11

Answer

1. It is given that AB is congruent to CD. 2. It is given that angle BAD is congruent to angle CDA. 3. By the identity theorem, it follows that AD is congruent to itself. 4. Thus, by SAS, triangle CAD is congruent to triangle BAD. 5. Thus, by the definition of congruent triangles, angle 1 and angle 2 are congruent. 6. Sides opposite congruent angles are congruent, so AE is congruent to ED.
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