Question

In which figure is point G a centroid?

Triangle A B C is a right triangle. Lines are drawn from each point to the opposite side and intersect at point G.
Triangle F D E is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each line segment splits each side into 2 equal parts.
Triangle L M N is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each angle has a different measure.
Triangle H J K is shown. Lines are drawn from each point to the opposite side to form right angles and they intersect at point G.

Answer 1

Point G is the centroid in the triangle F D E.

Reason: the centroid is the intersection of the medians (segments from each vertex to the midpoint of the opposite side). In triangle FDE each drawn line splits the opposite side into two equal parts, so they are medians and their intersection G is the centroid.