The order in which these points are selected does make a difference. Now we construct the circumcircle by first selecting the circumcenter, then selecting any one of the.Two perpendicular bisectors and the two segment midpoints. The location of the circumcenter is determined by the two perpendicular bisectors, so we cannot delete themįrom the sketch, but want to hide them and the midpoints to keep the sketch from getting cluttered.Select the two perpendicular bisectors, pull down the Construct menu and choose PointĪt Intersection.The pictureīelow shows the triangle with two perpendicular bisectors. Select another side of the triangle and repeat steps 1 and 2 to construct its perpendicular bisector.You have just constructed the perpendicular bisector of one side of the triangle. Held the shift key, the segment and its midpoint are now selected. Hold the shift key and select the segment that contains the midpoint. Now select one of the segments and in the Construct Clicking with the arrow tool away from theĭrawing will unselect everything. If you have just completed the triangle constructionsĪs described above, then all three segments are currently selected. ![]() Segments in our triangle and constructing their intersection point. We construct the circumcenter by constructing the perpendicular bisectors of any two TheĬenter of the circumcircle, called the circumcenter, is the point of intersection of the three perpendicular bisectors
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