Many different terms for bisectors of triangles.
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| Segment Bisector | 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 | A segment bisector that is also perpendicular to the segment it is bisecting.
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| Locus | A set of points that satisfies a particular condition.
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| Perpendicular Bisector Theorem | 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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| Converse of the Perpendicular Bisector Theorem | 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 | When 3 or more lines intersects at a common point.
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| Point of Concurrency | The point where concurrent lines intersect.
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| Circumcenter of a Triangle | The point of concurrency of the 3 perpendicular bisectors of a triangle.
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| Circumcenter Theorem | The perpendicular bisectors of a triangle intersect at a point called the circumcenter that is equidistant from the vertices of the triangle.
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| Angle Bisector | A line, segment, or ray that divides an angle into 2 congruent angles.
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| Angle Bisector Theorem | If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
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| Converse of the Angle Bisector Theorem | 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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| Incenter of a Triangle | The point of concurrency of the 3 angle bisectors of a triangle.
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| Incenter Theorem | The angle bisectors of a triangle intersect at a point called the incenter that is equidistant from the sides of the triangle.
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