This applet shows the construction of the circumcenter of a triangle.

[b]Move[/b] points [color=#ff7700][b]A[/b][/color][color=#1551b5], [/color][color=#ff7700][b]B[/b][/color] and [color=#ff7700][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 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]D[/b][/color] called?[br][br]d. Constructing a [b][color=#660000]circle[/color][/b] outside triangle [color=#ff7700][b]ABC[/b][/color] is called what?[br][br]e. Where does point [color=#ff0000][b]D[/b][/color] lie when the triangle is right?[br][br]f. Where does point [color=#ff0000][b]D[/b][/color] lie when the triangle is acute?[br][br]g. Where does point [color=#ff0000][b]D[/b][/color] lie when the triangle is obtuse?[br][br]h. What is unique about the [b][color=#0000ff]blue lines[/color][/b] when all three sides of the triangle are congruent?