# Construct the Circumcenter

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

**Construct the Circumcenter of ∆ABC. (Fill in the Blank)**Step 1: ______________________________________________________________________________ Step 2: ______________________________________________________________________________ Step 3: ______________________________________________________________________________ Step 4: Find the intersection of the three lines you have created!

**Construct the Circumscribed Circle of ∆ABC. (Fill in the Blank)**Step 1: Construct the circle with center at point ___________, which passes through points _____, _____, and _____.

**Use the segment tool to connect, (AD) ̅,(BD) ̅,and (CD) ̅.**What do we know about (AD) ̅,(BD) ̅,and (CD) ̅? ___________________________________________ Take a look! Where is the circumcenter if ∆ABC is obtuse? Where is the circumcenter if ∆ABC is acute? Where is the circumcenter if ∆ABC is scalene? Where is the circumcenter if ∆ABC is right? Where is the circumcenter if ∆ABC is isosceles? Where is the circumcenter if ∆ABC is equilateral?

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