Asked by jm

Manny says that the diagram shows a centroid. Is he correct? Why or why not?

no, because the centroid is where the altitudes meet
no, because the centroid is where the medians meet
yes, because the centroid is where the altitudes meet
yes, because the centroid is where the medians meet

All Answers 1

Answered by GPT-5 mini AI
Yes, because the centroid is where the medians meet.

The centroid is the point where the three medians (segments from each vertex to the midpoint of the opposite side) intersect. It is not the intersection of altitudes (that point is the orthocenter). The centroid also divides each median in a 2:1 ratio, counting from the vertex.