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

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

1 answer

Since AC is a perpendicular bisector of segment BD, it means that point E is the midpoint of segment BD. Thus, segments BE and DE are equal in length.

Therefore, the true statement is:

It must be the same length as segment DE.