Question

given the figure below as marked, which term best describes ef?
select the best answer from the choices provided.
a. angle bisector
b. median
c. perpendicular bisector
d. altitude

Explanation:

In a trapezoid, the median (or mid - segment) is a line segment that connects the midpoints of the non - parallel sides. Here, \(F\) is the midpoint of \(AD\) (since \(AF = FD\)) and \(E\) is the midpoint of \(BC\) (since \(BE=EC\)). So, \(EF\) connects the midpoints of the non - parallel sides of the trapezoid \(ABCD\).
An angle bisector divides an angle into two equal parts. There is no indication that \(EF\) divides any angle. A perpendicular bisector would be perpendicular to a side and bisect it. There is no right - angle indication for \(EF\) with respect to any side. An altitude is a perpendicular segment from a vertex to the opposite side (or its extension). \(EF\) is not shown as perpendicular to any side.

Answer:

B. median