Question
Line segment AC is a perpendicular bisector of segment BD, with the two segments meeting at point E. What is true of segment BE?
Answers
GPT-4o mini
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.
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.