Centroid of a Triangle
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 blue lines 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?