nolanc62 nolanc62
  • 01-04-2017
  • Mathematics
contestada

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

A. true
B. false

Respuesta :

sav12345 sav12345
  • 01-04-2017
A. True is the correct choice. 
Answer Link
Аноним Аноним
  • 23-05-2019

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.

Answer Link

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