Question

$overline{vy} cong overline{xy}$.
which term describes $overline{wy}$?
angle bisector
perpendicular bisector
median
none of these

Explanation:

1. Recall the definitions:

• Angle bisector: A line that divides an angle into two equal angles.
• Perpendicular bisector: A line that is perpendicular to a segment and divides it into two equal parts.
• Median: A line segment joining a vertex to the midpoint of the opposite side.

1. Given \(\overline{VY}\cong\overline{XY}\), so \(Y\) is the midpoint of \(\overline{VX}\) (since \(VY = XY\)).
2. \(\overline{WY}\) connects vertex \(W\) to the midpoint \(Y\) of \(\overline{VX}\), which fits the definition of a median. It doesn't necessarily bisect an angle (no info about angles) or be perpendicular (no right angle info).

Answer:

median