given BD is the segment bisect or of AC complete the flowchart proof below. Note that the last statement and reason have both been filled

1.
Statement:
[tex]BE=ED[/tex]Reason: As marked in the figure.
2.
Statement:
[tex]AE=CE[/tex]Reason: Given that BD is the segment bisector of AC.
3.
Statement:
[tex]\angle CED=\angle AEB[/tex]Reason: Vertical Angles Theorem.
4.