The lines containing the medians of a triangle are concurrent. The point of concurrency, called the (a)   , is inside the triangle.

The centroid of a triangle is two-thirds of the distance from each vertex to the (a)   of the opposite side.

A(n) (a)   of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side.

The lines containing the altitudes of a triangle are concurrent. This point of concurrency is the (a)   of the triangle.

FC = 36; Find GC.

(a)  

GF = 9; Find FC.

(a)  

FC = 36; Find FG.

(a)  

GF = 9; Find GC.

(a)  

A(n) (a)   of a triangle is a segment that connects the midpoints of two sides of the triangle.

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is (a)   as long as that side.