SOLUTION: line DB bisects < ADC and line BD bisects < ABC Prove: triangle ABD is congruent to triangle CBD

Algebra ->  Geometry-proofs -> SOLUTION: line DB bisects < ADC and line BD bisects < ABC Prove: triangle ABD is congruent to triangle CBD      Log On


   

Question 364316: line DB bisects < ADC and line BD bisects < ABC Prove: triangle ABD is congruent to triangle CBD
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
thx for sharing

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
line DB bisects < ADC and line BD bisects < ABC Prove: triangle ABD is congruent to triangle CBD

 

Here's an outline.  You can supply a 2-line proof

Angle ABD is congruent to angle DBC because BD bisects < ABC

DB and DB are congruent

Angle ADB is congruent to angle CDB because DB bisects < ADC

triangle ABD is congruent to triangle CBD by ASA (angle-side-angle)
Edwin