Question

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

Answer 1

Answer with explanation:

It is given that,

Δ ABC ~ Δ DBC

So, corresponding sides will be proportional.

$\frac{AB}{DB}=\frac{BC}{BC}=\frac{AC}{DC}\\\\\frac{AB}{DB}=1\\\\ AB=DB$

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.

Answer 2

A. True is the correct choice.