Question

1. what is (overline{be}) in the figure? an angle bisector a perpendicular bisector a median an altitude

Explanation:

An angle - bisector divides an angle into two equal parts. A perpendicular bisector divides a line - segment into two equal parts at a right - angle. A median is a line - segment that joins a vertex of a triangle to the mid - point of the opposite side. An altitude is a line - segment from a vertex perpendicular to the opposite side. In the figure, since there are no right - angle markings for perpendicularity and no indication of angle - bisection, and we see that \(BC = CD\), \(\overline{BE}\) is a line segment joining vertex \(B\) to the mid - point of the opposite side \(DF\), so it is a median.

Answer:

a median