Construct the Circumcenter
- Author:
- Megan Milano
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?