Investigating the circumcircle
1) Click to show the circumcircle. Using this diagram, write in your own words a definition for the circumcircle.
2) Click to show the perpendicular bisectors of AC and BC, considering how the equations of these lines could be found by hand. (Where would the perpendicular bisector of AB be located on this diagram?)
3) Click to show the circumcentre. Using this diagram, write in your own words a definition for the circumcentre, considering its relationship to the circumcircle.
4) Write a full method for locating the circumcentre of three points. Try moving the points A, B and C to check your method generalises.