Worksheet#1
Group:______________


1.Where is the point of circumcenter of a triangle?
GSP file of circumcenter.
 
  Inside On side (line) Outside  Can not find it
Right triangle        
Acute triangle         
Obtuse triangle        
Scalene triangle         
Isosceles triangle         
Equilateral triangle         

Your conclusion: _____________________________________________________________________________
                          _____________________________________________________________________________

Review: How about centroid, incenter, and orthocenter of a triangle?

2. How many points of circumcenter are there of a triangle?



Worksheet#2
Group:______________


Find the relation of angles.
GSP file of circumcenter.

1. When the point O of circumcenter is INSIDE of triangle ABC, make a conclusion for the relationship between angle ABC and angle AOC, angle BCA and angle BOC, or angle CAB and angle COB.
Conclusion:___________________________________

2. When the point O of circumcenter is OUTSIDE of triangle ABC , make a conclusion for the relationship between angle ABC and angle AOC, angle BCA and angle BOC, or angle CAB and angle COB.
Conclusion:___________________________________



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