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

[b]Move[/b] points [color=#0000ff][b]A[/b][/color][color=#1551b5], [/color][color=#0000ff][b]B[/b][/color] and [color=#0000ff][b]C[/b][/color] and notice what happens to the triangle.[br][br]Answer the following questions:[br][br]a. What are the [color=#0000ff][b]blue[/b] [b]lines[/b][/color] in the construction called?[br][br]b. How are those [b][color=#0000ff]blue lines[/color] [/b]constructed?[br][br]c. What is point [color=#ff0000][b]G[/b][/color] called?[br][br]d. Is it possible for point [color=#ff0000][b]G[/b][/color] to be located outside of the triangle?[br][br]e. What special property does point [color=#ff0000][b]G[/b][/color] have with the triangle?[br][br]f. What is unique about the [b][color=#0000ff]blue lines[/color][/b] when all three sides of the triangle are congruent?