* Angle ABD is congruent to angle BDC
False: There is no enough information to conclude it
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*BD = BD
True: Because of reflexive property.
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*BC = AD
False: There is no enough information to conclude it
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*AB = DC
False: There is no enough information to conclude it
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* Angle ADB is congruent to angle DBC
True: They are alternate interior angles.
Answer:
The only valid choices are:
BD = BD
Angle ADB is congruent to angle DBC