[color=#000000]Interact with this applet for a few minutes, then answer the questions that follow. [br][br]Be sure to change the locations of the triangle's [/color][b]WHITE VERTICES[/b][color=#000000] both [b]BEFORE[/b] and [b]AFTER[/b] sliding the slider! [/color]
What can you conclude about the [b]3 smaller white points[/b]? What are they? How do you know this?
[color=#000000]What is the measure of each [/color][b][color=#666666]gray angle[/color][/b][color=#000000]? How do you know this? [/color]
[color=#000000]What vocabulary term best describes each [/color][color=#980000][b]brown line[/b][/color][color=#000000]? Why is this? [/color]
[color=#000000]Describe [/color][color=#1e84cc][b]the intersection[/b][/color][color=#000000] of these [/color][color=#980000][b]3 brown lines[/b][/color][color=#000000]. [/color][color=#1e84cc][b]How do they intersect?[/b][/color]
[color=#000000]Use the [b]angle tool[/b] to now [b]measure and display the measures of this triangle's [/b][/color][b]3 interior angles[color=#000000]. [/color][/b]
[color=#1e84cc][b]Point C[/b][/color][color=#000000] is called the [/color][color=#1e84cc][b]circumcenter[/b][/color][color=#000000] of the triangle. [br]Drag the [/color]triangle's[b] LARGE WHITE VERTICES[/b][color=#000000] around to help you answer the new few questions. [br][/color][color=#000000][br][/color]
[color=#000000]Is it ever possible for the [/color][color=#1e84cc][b]circumcenter [/b][/color][color=#000000]to lie [i]outside the triangle[/i]?[br]If so, how would you classify such a triangle by its angles? [/color]
[color=#000000]Is it ever possible for the [/color][color=#1e84cc][b]circumcenter[/b][/color][color=#000000] to lie [i]on the triangle itself[/i]?[br]If so, how would you classify such a triangle by its angles? [br]And if so, [i]where exactly on the triangle[/i] is the [/color][color=#1e84cc][b]circumcenter[/b][/color][color=#000000] found? [/color]
[color=#000000]Is it ever possible for the [/color][color=#1e84cc][b]circumcenter[/b][/color][color=#000000] to lie [i]inside the triangle[/i]?[br]If so, how would you classify such a triangle by its angles? [/color]
[color=#000000]What is so special about the [/color][b][color=#1e84cc]blue circle [/color][/b][color=#000000]with respect to the triangle's [/color][b]WHITE VERTICES[/b][color=#000000]? [/color]
[color=#000000]What [/color][color=#ff00ff][b]previously learned theorem[/b][/color][color=#000000] easily implies that the distance from the [/color][color=#1e84cc][b]circumcenter[/b][/color][color=#000000] to any [/color][b]vertex [/b][color=#000000]is equal to the distance from the [/color][color=#1e84cc][b]circumcenter[/b][/color][color=#000000] to any other [/color][b][color=#1e84cc]vertex[/color][/b][color=#000000]? [/color]