Question

PLEASE ANSWER WILL MARK BRAINLIEST

Answer 1

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:

$\overline {AC} \cong \overline{DC}$

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}

∴ $\overline {AC} \cong \overline{DC}$   ........{CPCT}....Proved