[color=#000000][b]Theorems:[/b][/color][br][br]The [color=#980000]3 perpendicular bisectors[/color] of a triangle are [color=#980000][b]concurrent[/b][/color] (intersect at exactly [color=#980000][b]one point[/b][/color].) [br]This [color=#980000][b]point of concurrency[/b][/color] is called the [color=#980000][b]circumcenter[/b][/color] of the triangle. [br][br]The [color=#980000][b]circumcenter[/b][/color] of a triangle is [color=#1e84cc][b]equidistant[/b][/color] from the triangle's [color=#ff00ff][b]3 vertices[/b][/color].[br]Because of this, the [color=#980000][b]circumcenter[/b][/color] serves as the [color=#980000][b]center[/b][/color] of the [color=#38761d][b]only circle[/b][/color] that passes through the triangle's [color=#38761d][b]3 vertices[/b][/color].