Question

If ABC~DBC, then B is the midpoint of AD.

A. true
B. false

Answer 1

A. True is the correct choice. 

Answer 2

Answer with explanation:

It is given that,

Δ ABC ~ Δ DBC

So, corresponding sides will be proportional.

`(AB)/(DB)=(BC)/(BC)=(AC)/(DC)\\\\(AB)/(DB)=1\\\\ AB=DB`

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.