Line segment AC is a perpendicular bisector of segment BD, with the two segments meeting at point E. What is true of segment BE?

Answer 1

Since line segment AC is a perpendicular bisector of segment BD, it means that:

1. Perpendicular: Segment AC intersects segment BD at point E at a right angle (90 degrees).
2. Bisector: Point E divides segment BD into two equal parts.

Therefore, we can conclude that segment BE is equal in length to segment ED. In other words:

\[ BE = ED \]

This means that segment BE is half of segment BD and represents an equal division of the length of segment BD at point E.