Construct the Circumcenter on your own!
Your task is to learn this technology in order to construct the circumcenter and circumcircle of a triangle ABC.
Then use your construction to find important properties of the circumcenter.
Construct the Circumcenter of ∆ABC. (Fill in the Blank)
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
2) Use the second menu (POINT A) to find the option to construct the INTERSECTION (point D) of the perpendicular bisectors
3) In the 6th menu, you will find the option for creating the circle with center at the intersection.
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?