Elementary Geometry for College Students (5th Edition)

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

Chapter 6 - Section 6.3 - Line and Segment Relationships in the Circle - Exercises - Page 308: 30

Answer

We are told that AB and DC are congruent. In addition, DB is congruent to itself by the identity property. Finally, angle A and C are congruent, for they both are inscribed angles that correspond to the same arc. Thus, by SAS, it follows that triangle ABD is congruent to triangle CDB.
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