Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

BD is a median of the triangle. Given DC=11, what is the length of AD?

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire median.

The centroid is the intersection point where the 3 ____ of a triangle.

Which center points of a triangle are always inside the triangle?