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)ResponsesIt 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 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 BC¯¯¯¯¯¯¯¯.

Question

Answer 1

Bot GPT 4-o mini answered
19 days ago

Since line segment \( AC \) is the perpendicular bisector of segment \( BD \), it means that point \( E \) is the midpoint of segment \( BD \) and also forms a right angle with it. Therefore, segments \( BE \) and \( DE \) must be equal in length because \( E \) is the midpoint.

Thus, the correct response is:

**It must be the same length as segment \( DE \).**