The following is a 3-step proof. Complete the proof.
Given: 1 = 2
AP = BP

1) [tex]\angle 1=\angle 2[/tex], [tex]AP=BP[/tex] (given)
2) [tex]\angle APD=\angle BPC[/tex] (vertical angles are equal)
3) [tex]\triangle ABD \cong \triangle BAC[/tex] (ASA)