Respuesta :
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.