Students will be able to construct the circumcenter and circumcircle of a triangle ABC. [br]Then use their construction to find important properties of the circumcenter.

[b]Construct the Circumcenter of ∆ABC. (Fill in the Blank) [/b][br]Step 1: ______________________________________________________________________________[br]Step 2: ______________________________________________________________________________[br]Step 3: ______________________________________________________________________________[br]Step 4: Find the intersection of the three lines you have created! [br][br][b]Construct the Circumscribed Circle of ∆ABC. (Fill in the Blank)[/b][br]Step 1: Construct the circle with center at point ___________, which passes through points _____, _____, and _____. [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?