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

Answer 1

If line segment AC is the perpendicular bisector of segment BD, it means that point E is the midpoint of segment BD and that segment AC intersects BD at a right angle (90 degrees).

Given that E is the midpoint of segment BD, it follows that segments BE and DE are equal in length. Therefore, segment BE is half the length of segment BD.

To summarize:

• Segment BE is equal in length to segment DE.
• Segment BE is half the length of segment BD.