Question

look at the diagram.
which term describes \\( \overline { x z } \\)?
median
angle bisector
perpendicular bisector
none of these

Explanation:

• A median connects a vertex to the mid - point of the opposite side. Here, there is no indication that \(Z\) is the mid - point of \(YV\) (since \(YZ = 11\) and \(ZV=55 - 11=44\), \(YZ

eq ZV\)).

• An angle bisector divides an angle into two equal parts. There is no information about angle - division.
• A perpendicular bisector is perpendicular to a side and bisects it. Since \(YZ

eq ZV\), it does not bisect \(YV\) (even though \(XZ\perp YV\)).

Answer:

none of these