Question

Given: \overline{AC}

Answer 1

△ABD ≅ △CBD is below

Step-by-step explanation:

Given:

AD = CD      .........BD bisect AC

To Prove:

△ABD ≅ △CBD

Proof:

In  ΔABD  and ΔCBD  

BD ≅ BD              ....……….{Reflexive Property}

∠ADB ≅ ∠CDB    …………..{Measure of each angle is 90°(  )}

AD ≅ CD              ....……….{  }

ΔABD  ≅ ΔCBD   .......….{By Side-Angle-Side Congruence test}  ...Proved

I think this is it? Hope it helps :)