Answer:
Proof with statement and Reason is given below.
Step-by-step explanation:
Given:
AB = DB
BC is the bisector of ∠ ABD
∴ ∠ ABC ≅ ∠ DBC
To Prove:
[tex]\overline {AC} \cong \overline{DC}[/tex]
Proof:
Statement Reasons
In Δ ABC and Δ DBC
AB≅ DB ....……….{Given}
∠ ABC ≅ ∠ DBC …………..{BC is the bisector of ∠ ABD}
BC ≅ BC .....……….{Reflexive Property}
Δ ABC ≅ Δ DBC ...........….{ By Side-Angle-Side test}
∴ [tex]\overline {AC} \cong \overline{DC}[/tex] ........{CPCT}....Proved
