|
 Perpendicular Bisector | A line that is perpendicular to a segment at its midpoint. |
| Angle Bisector | a ray that divides an angle into two congruent angles |
| Point of concurrency | a point of intersection of three or more lines |
| Perpendicular Bisector Theorem | if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment |
| Perpendicular Bisector Converse | If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector. |
| Angle Bisector Theorem | If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle |
| Angle Bisector Converse | if a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the angle bisector |
| Circumcenter | the point of concurrency of the perpendicular bisectors of a triangle |
| Circumscribed Circle | each vertex of the triangle is a point on the circle |
| Circumcenter | equidistant from the vertices of the triangle |
| Circumcenter of a right triangle | located on the hypotenuse of the triangle |
| Circumcenter of an acute triangle | located inside of the triangle |
| Circumcenter of an obtuse triangle | located outside of the triangle |
| Incenter | the point of concurrency of the angle bisectors of a triangle |
| Incenter | center of the inscribed circle |
| Incenter | equidistant from the sides of the triangle |
| Incenter | always located inside of the triangle |