Respuesta :

A. True is the correct choice. 

Answer with explanation:

It is given that,

Δ ABC ~ Δ DBC

So, corresponding sides will be proportional.

[tex]\frac{AB}{DB}=\frac{BC}{BC}=\frac{AC}{DC}\\\\\frac{AB}{DB}=1\\\\ AB=DB[/tex]

Which shows that, B is the midpoint of AD.

So, yes , it is a true statement, if ABC~DBC, then B is the midpoint of AD.