The two column proof has shown that ΔABD ≅ ΔCBD by SAS Congruence Postulate
How to use two column proof?
The two column proof to show that ΔABD ≅ ΔCBD is as follows:
Statement 1: AC ⊥ BD
Reason 1: Given
Statement 2: BD bisects AC
Reason 2: Given
Statement 3: BD ≅ BD
Reason 3: Reflexive property of congruence
Statement 4: AD ≅ CD
Reason 4: Bisected segments
Statement 5: ∠BDA ≅ ∠BDC
Reason 5: Perpendicular bisector
Statement 6: ΔABD ≅ ΔCBD
Reason 6: SAS Congruence Postulate