Question

for \\( \triangle a b c \\), is \\( \overline { b q } \\) a median, an altitude, or neither?
choose the correct answer below:

• median
• altitude
• neither

Explanation:

Step1: Recall the definitions

A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side. An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Step2: Analyze the given segment

In \(\triangle ABC\), segment \(\overline{BG}\) does not connect a vertex to the mid - point of the opposite side (there is no indication that \(G\) is the mid - point of any side). Also, there is no indication that \(\overline{BG}\) is perpendicular to the line containing the opposite side.

Answer:

neither