Answer:
Option (1)
Step-by-step explanation:
''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."
From the given picture,
If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.
1). m(∠DBC) = m(∠DBA) = 90°
2). AB ≅ BC
Therefore, additional information we will require is AB ≅ BC
Option (1) will be the answer.