Answer
△ABD and △BCD are congruent because of ASA, therefore AB ≅ CB
Work Step by Step
Proof:
∠ABD ≅ ∠CBD - given
∠BDA ≅ ∠BDC - given
BD ≅ BD - Reflexive Property of Congruence
△ABD ≅ △BCD - Postulate 4-3 Angle-Side-Angle (ASA) Postulate
AB ≅ CB
Geometry: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281159
ISBN 13:
978-0-13328-115-6
Chapter 4 - Congruent Triangles - 4-4 Using Corresponding Parts of Congruent Triangles - Practice and Problem-Solving Exercises - Page 246: 6
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