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Line segment AC¯¯¯¯¯¯¯¯ is a perpendicular bisector of segment BD¯¯¯¯¯¯¯¯, with the two segments meeting at point E. What is true of segment BE¯¯¯¯¯¯¯¯? (1 point) Responses It must be the same length as segment DE¯¯¯¯¯¯¯¯. It must be the same length as segment upper D upper E . It must be the same length as segment BC¯¯¯¯¯¯¯¯. It must be the same length as segment upper B upper C . It must be the same length as segment AB¯¯¯¯¯¯¯¯. It must be the same length as segment upper A upper B . It must be the same length as segment EA¯¯¯¯¯¯¯¯.

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Since line segment \( AC \) is the perpendicular bisector of segment \( BD \), it means that:

  1. \( E \) is the midpoint of \( BD \), which indicates that \( BE = DE \). This is because the perpendicular bisector divides the segment into two equal parts.

Therefore, the correct response is:

  • It must be the same length as segment \( DE \).