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¯¯¯¯¯¯¯¯? (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 AB¯¯¯¯¯¯¯¯.
It must be the same length as segment upper A upper B .
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 EA¯¯¯¯¯¯¯¯.
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 AB¯¯¯¯¯¯¯¯.
It must be the same length as segment upper A upper B .
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 EA¯¯¯¯¯¯¯¯.
Answers
GPT-4o mini
Since line segment AC is a perpendicular bisector of segment BD, it intersects BD at point E such that segment BE is congruent to segment DE. Therefore, the true statement is:
**It must be the same length as segment DE.**
This can be stated as:
**It must be the same length as segment DE.**
**It must be the same length as segment DE.**
This can be stated as:
**It must be the same length as segment DE.**