Question

in which figure is point g a centroid?

Explanation:

A centroid is the intersection point of the medians of a triangle. A median of a triangle is a line segment that joins a vertex to the mid - point of the opposite side. In the second figure (the one with triangle \(DEF\)), the lines drawn from the vertices \(D\), \(E\), and \(F\) to the mid - points of the opposite sides intersect at point \(G\). In the first figure (triangle \(ABC\)), the lines do not appear to be medians (for example, the line from \(A\) does not seem to connect to the mid - point of \(BC\) in a proper centroid - forming way).

Answer:

The second figure (the one with triangle \(DEF\)) has point \(G\) as a centroid.