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Many different terms for bisectors of triangles.

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
show Any segment, line, or plane that intersects a segment at its midpoint (Cuts a segment into 2 congruent line segments).  
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Perpendicular Bisector   show
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show A set of points that satisfies a particular condition.  
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show If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.  
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show If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.  
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Concurrent Lines   show
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show The point where concurrent lines intersect.  
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Circumcenter of a Triangle   show
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Circumcenter Theorem   show
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show A line, segment, or ray that divides an angle into 2 congruent angles.  
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show If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.  
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show If a point in the interior of an angle is equidistant from the sides of an angle, then it is on the bisector of the angle.  
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show The point of concurrency of the 3 angle bisectors of a triangle.  
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Incenter Theorem   show
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