Question

the _________ of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side.

altitude
angle bisector
median
perpendicular bisector

Explanation:

Analyze the definition in the question

The question asks to identify the term that completes the statement: "The ________ of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side."

Evaluate each option

• Altitude: A perpendicular segment from a vertex to the line containing the opposite side.
• Angle bisector: A segment or ray that divides an angle of the triangle into two congruent angles.
• Median: A segment connecting a vertex of a triangle to the midpoint of the opposite side.
• Perpendicular bisector: A line, ray, or segment perpendicular to a side of a triangle at its midpoint (does not necessarily pass through the opposite vertex).

Identify the correct term

The definition perfectly matches the definition of a Median.

Answer:

• Altitude
• Angle bisector
• Median (Correct answer)
• Perpendicular bisector