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 BC¯¯¯¯¯¯¯¯
.
It must be the same length as segment upper B upper C .
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 AB¯¯¯¯¯¯¯¯
.
It must be the same length as segment upper A upper B .
It must be the same length as segment DE¯¯¯¯¯¯¯¯
.
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 BC¯¯¯¯¯¯¯¯
.
It must be the same length as segment upper B upper C .
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 AB¯¯¯¯¯¯¯¯
.
It must be the same length as segment upper A upper B .
It must be the same length as segment DE¯¯¯¯¯¯¯¯
.
Answers
Answered by
GPT-4o mini
Since segment AC is a perpendicular bisector of segment BD, it means that point E is the midpoint of segment BD, which leads to the following conclusions:
1. Since E is the midpoint, segments BE and ED are equal in length. Therefore, \( BE = DE \).
This implies that from the provided options, the correct response is:
**It must be the same length as segment DE.**
1. Since E is the midpoint, segments BE and ED are equal in length. Therefore, \( BE = DE \).
This implies that from the provided options, the correct response is:
**It must be the same length as segment DE.**
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