Question

a centroid is the intersection of three
altitudes in a triangle.
perpendicular bisectors in a triangle.
angle bisectors in a triangle.
medians in a triangle.

Explanation:

To solve this, we recall the definitions of key triangle segments:

• Altitudes intersect at the orthocenter.
• Perpendicular bisectors intersect at the circumcenter.
• Angle bisectors intersect at the incenter.
• Medians (segments from a vertex to the midpoint of the opposite side) intersect at the centroid.

So the centroid is the intersection of three medians in a triangle.

Answer:

D. medians in a triangle.