Observe the given figure carefully.
1.
Statement:
[tex]\angle ABD=\angle CBD[/tex]
Reason: Angle bisector divides the angles into two equal halves.
2.
Statement:
[tex]BD=BD[/tex]
Reason: Side common to both the triangles.
3.
Statement:
[tex]\angle BDA=\angle BDC[/tex]
Reason: As AC is perpendicular to BD, the angles BDA and BDC will be 90 degrees.
4.
[tex]\Delta ABD\cong\Delta CBD[/tex]
Reason: By using ASA congruence.
Thus, the resulting flow chart can be obtained as follows,
