Question

based on the given diagram, complete the sentence below.
answer
point ( d ) is the of ( \triangle a b c ) because ( overline{a f}, overline{b g} ), and ( overline{c e} ) are all

Explanation:

The centroid of a triangle is the point of intersection of its medians. A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side. In the given diagram, \( \overline{AF}\), \( \overline{BG}\), and \( \overline{CE}\) are medians (since \( F\) is the mid - point of \( CB\), \( G\) is the mid - point of \( AC\), and \( E\) is the mid - point of \( AB\)). The point \( D\) is the intersection of these medians.

Answer:

centroid