Which fact could you use to help prove that ΔABDΔACB using Side-Side-Side?

A.∠ACB ≅ ∠DBA

B.Line segment DB over line segment AD is equal to line segment BC over line segment AB

C.Line segment AD is congruent to line segment CB.

D.∠BAC + ∠BCA = 90˚

Question

Which fact could you use to help prove that ΔABDΔACB using Side-Side-Side?

A.∠ACB ≅ ∠DBA

B.Line segment DB over line segment AD is equal to line segment BC over line segment AB

C.Line segment AD is congruent to line segment CB.

D.∠BAC + ∠BCA  = 90˚

anonymous · Answer

attachment

directrix · Answer

ΔABDΔACB --> Are you seeking to prove these triangles similar or something else? There is no symbol here. I think it must be a similarity symbol that is missing.

anonymous · Answer

My bad yes I am

directrix · Answer

If Triangle ABD ~ Triangle ACB by SSS ~ Theorem,
then the following extended proportion would have to be true:
AB / AC  =  BD / CB  = AD / AB
----------
Looking at this option:

B.Line segment DB over line segment AD is equal to line segment BC over line segment AB 

This proportion DB / AD = BC / AB is equivalent to BD / BC  = AD / AB which are two of the ratios of corresponding sides as shown above.

So, B would be my choice.  See what you think.

anonymous · Answer

I have been thinking B was the answer but I wasn't positive so thats why I came on here to get a second opinon

directrix · Answer

I think you are correct about B.