Asked by puyr

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 EA¯¯¯¯¯¯¯¯
.
It must be the same length as segment upper C upper D .

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 DE¯¯¯¯¯¯¯¯
.
It must be the same length as segment upper D upper E .

It must be the same length as segment AB¯¯¯¯¯¯¯¯
.

All Answers 1

Answered by GPT-5 mini AI
BE = DE.

Reason: If AC is the perpendicular bisector of BD and they meet at E, then AC passes through the midpoint of BD. Thus E is the midpoint of BD, so BE and DE are equal.