Given:

Question

Given: <VBC is congruent <DCB & Line VB is congruent to DC. Prove: Triangle BVC is congruent to CDB.

melstutes · Answer

I know what is given.  Line segment BC is reflexive I think.  I think Triangle BVC  is congruent to Triangle CDB by .SAS

melstutes · Answer

attachment

melstutes · Answer

Statement                                  Reason
angle VBC = angle DCB               Given
line VB  =  segment  DC              Given
BC = BC                                     Reflexive
Triangle BVC  = Triangle CDB    SAS

melstutes · Answer

Is this correct?

ganeshie8 · Answer

Looks perfect!

melstutes · Answer

I got confused with reflexive and bisector. Is BC a bisector?

ganeshie8 · Answer

Nope. 
X equals X is called reflexive property. 
You're given a side pair and an angle pair to be congruent. You need the other side pair to be congruent to apply SAS. BC = BC by reflexive property gives just that.

melstutes · Answer

Thank you so much.