Your task is to learn this technology in order to construct the circumcenter and circumcircle of a triangle ABC. [br]Then use your construction to find important properties of the circumcenter.

[b]Construct the Circumcenter of ∆ABC. (Fill in the Blank) [/b][br]1) In the menu at the top, the fourth choice will drop down to include PERPENDICULAR BISECTOR, Construct all three perpendicular bisectors of this triangle[br]2) Use the second menu (POINT A) to find the option to construct the INTERSECTION (point D) of the perpendicular bisectors[br]3) In the 6th menu, you will find the option for creating the circle with center at the intersection. [br][br][b]Use the segment tool to connect, (AD) ̅,(BD) ̅,and (CD) ̅. [/b][br]What do we know about (AD) ̅,(BD) ̅,and (CD) ̅? ___________________________________________[br][br]Take a look! [br]Where is the circumcenter if ∆ABC is obtuse? [br]Where is the circumcenter if ∆ABC is acute? [br]Where is the circumcenter if ∆ABC is scalene? [br]Where is the circumcenter if ∆ABC is right? [br]Where is the circumcenter if ∆ABC is isosceles? [br]Where is the circumcenter if ∆ABC is equilateral?