Question

a _______________ is a segment that goes from the vertex to the midpoint of the opposite side

a perpendicular bisector

b median

c altitude

Explanation:

• Option A: A perpendicular bisector is a line that is perpendicular to a segment and bisects it, but it doesn't necessarily connect a vertex to the midpoint of the opposite side of a triangle (it can be for any segment, not just in a triangle context related to vertices).
• Option B: By definition, a median of a triangle is a segment that connects a vertex to the midpoint of the opposite side. This matches the description in the question.
• Option C: An altitude of a triangle is a segment from a vertex perpendicular to the opposite side (or its extension), not necessarily to the midpoint.

Answer:

B. median