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Answer:
C. ΔABE≅ΔDBC by SAS
Explanation:
Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)
Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.
The only correct claim is that of C: ΔABE≅ΔDBC by SAS