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 determine the correct option, we recall the definitions of key triangle concepts:

• The intersection of altitudes is the orthocenter.
• The intersection of perpendicular bisectors is the circumcenter.
• The intersection of angle bisectors is the incenter.
• The intersection of medians (lines from vertices to midpoints of opposite sides) is the centroid.

Answer:

D. medians in a triangle.