Question

Given: BC ≅ CD and AC bisects ∠BCD

Prove: ∆ABC ≅ ∆ADC
Please show work and don't just put random letters like the first time i asked this PLEASE i really need this

Answer 1

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Answer 2

The two column proof has shown that ∆ABC ≅ ∆ADC by SAS Congruency Postulate

How to solve the two column proof?

The two column proof to show that ∆ABC ≅ ∆ADC is as follows:

Statement 1: BC ≅ CD

Reason 1: Given

Statement 2: AC bisects angle BCD ,

Reason 2: Given

Statement 3: ∠ACB ≅ ∠ACD

Reason 3: Definition of angle bisector

Statement 4: AC =AC

Reason 4: Reflexive Property of congruence

Statement 5: ∆ABC ≅ ∆ADC

Reason 5: SAS Congruency Postulate