Question

lines extending from the vertex to the median of the opposite side intersect at the __________.

orthocenter
centroid
incenter
circumcenter

Explanation:

Identify the definition of a triangle median

A line segment extending from a vertex of a triangle to the midpoint (median point) of the opposite side is called a median.

Determine the intersection point of the medians

The three medians of a triangle intersect at a single point, which is defined as the centroid of the triangle.

Answer:

• Orthocenter
• Centroid (Correct answer)
• Incenter
• Circumcenter