Question

1. vw ≅ wx.

which term describes yw?

median
angle bisector
perpendicular bisector
altitude

Explanation:

Step1: Recall definitions

• Median: A line segment joining a vertex to the mid - point of the opposite side.
• Angle bisector: A line segment that divides an angle into two equal parts.
• Perpendicular bisector: A line that is perpendicular to a segment and bisects it.
• Altitude: A perpendicular segment from a vertex to the line containing the opposite side.

Given \(\overline{VW}\cong\overline{WX}\), so \(W\) is the mid - point of \(\overline{VX}\).

Step2: Identify the segment

Since \(Y\) is a vertex and \(W\) is the mid - point of \(\overline{VX}\), and \(\overline{YW}\) connects vertex \(Y\) to the mid - point \(W\) of the opposite side \(\overline{VX}\).

Answer:

median