This applet shows the construction of the centroid in a triangle.

Move points A, B and C and notice what happens to the triangle.
Answer the following questions:
a. What are the bluelines in the construction called?
b. How are those blue lines constructed?
c. What is point G called?
d. Is it possible for point G to be located outside of the triangle?
e. What special property does point G have with the triangle?
f. What is unique about the blue lines when all three sides of the triangle are congruent?