Question

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$$overline{vy} cong overline{xy}.$$
which term describes $overline{wy}$?
median
perpendicular bisector
altitude
angle bisector

Explanation:

Step1: Recall Definitions

• Median: A segment from a vertex to the midpoint of the opposite side.
• Perpendicular Bisector: A line that is perpendicular to a segment and bisects it (needs right angle and midpoint).
• Altitude: A segment from a vertex perpendicular to the opposite side (needs right angle).
• Angle Bisector: A segment that divides an angle into two equal angles.

Step2: Analyze Given Information

We know \(\overline{VY} \cong \overline{XY}\), so \(Y\) is the midpoint of \(\overline{VX}\) (since \(VY = XY\)). \(\overline{WY}\) connects vertex \(W\) to midpoint \(Y\) of side \(\overline{VX}\) in triangle \(WVX\) (assuming the figure is a triangle or related polygon with base \(VX\)).

• It's not necessarily a perpendicular bisector (no info about right angle).
• It's not an altitude (no info about right angle).
• It's not an angle bisector (no info about angle division).
• Since \(Y\) is the midpoint, \(\overline{WY}\) is a median (connects vertex to midpoint of opposite side).

Answer:

median