Term
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Definition
| IS A LINE , A SEGMENT, A RAY, OR EVEN A PLANE THAT IS PERPENDICULAR TO THE SEGMENT AT THE MIDPOINT |
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Term
| PERPENDICULAR BISECTOR THEOREM |
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Definition
| IT A POINT IS ON THE PERPENDICUALR BISECTOR OF A SEGMENT, THEN IT IS EQUIDISTANT FROM THE ENDPOINTS OF THE SEGMENT |
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Term
| CONVERSE OF THE PERPENDICULAR BISECTOR THEOREM |
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Definition
| IF A POINT IS EQUIDISTANT FROM THE ENDPOINTS OF A SEGMENT, THEN IT IS PERPENDICULAR BISECTOR OF THE SEGMENT |
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Term
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Definition
| IF A POINT IS ON THE BISECTOR OF AN ANGLE, THEN THE POINT IS EQUIDISTANT FROM THE SIDES OF THE ANGLE |
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Term
| CONVERSE OF THE ANGLE BISECTOR THEOREM |
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Definition
| IF A POINT IN THE INTERIOR OF AN ANGLE IS EQUIDISTANT FROM THE SIDES OF THE ANGLE, THEN THE POINT IS ON THE ANGLE BISECTOR |
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Term
| PERPENDICULAR BISECTOR OF A TRIANGLE |
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Definition
| IS A LINE ,A SEGMENT, A RAY, OR A PLANE THAT IS PERPENDICULAR TO A SIDE OF THE TRIANGLE AT THE SIDES MIDPOINT |
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Term
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Definition
| WHEN THREE OR MORE LINES INTERSECT AT ONE POINT |
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Term
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Definition
| THE POINT AT WHICH THEY INTERSECT |
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Term
| CONCURRENCY OF PERPENDICULAR BISECTORS THEOREM |
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Definition
| THE PERPENDICULAR BISECTORS OF THE SIDES OF A TRIANGLE ARE CONCURRENT AT A POINT EQUIDISTANT FROM THE VERTICES |
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Term
| CIRCUMCENTER OF THE TRIANGLE |
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Definition
| THE POINT OF CONCURRENCY OF THE PERPENDICULAR BISECTORS OF THIS TRIANGLE |
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Term
| CIRCUMCENTER OF A ACUTE TRIANGLE |
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Definition
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Term
| CIRCUMCENTER OF A RIGHT TRIANGLE |
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Definition
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Term
| CIRCUMCENTER OF A OBTUSE TRIANGLE |
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Definition
| IS ON THE OUTSIDE OF THE TRIANGLE |
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Term
| ANGLE BISECTOR OF A TRIANGLE |
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Definition
| IS A BISECTOR OF AN ANGLE OF THE TRIANGLE |
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Term
| CONCURRENCY OF A ANGLE BISECTORS THEOREM |
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Definition
| THE BISECTORS OF THE ANGLES OF A TRIANGLE ARE CONCURRENT AT A POINT EQUIDISTANT FROM THE SIDES OF THE TRIANGLE |
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Term
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Definition
| THE POINT OF CONCURRENCY OF THE ANGLE BISECTORS OF A TRIANGLE. THE INCENTER IS ALWAYS INSIDE THE TRIANGLE. |
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Term
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Definition
| IS A SEGMENT WHOSE ENDPOINTS ARE A VERTEX AND THE MIDPOINT OF THE OPPOSITE SIDE. A TRIANGLE'S THREE MEDIAN ARE ALWAYS CONCURRENT |
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Term
| CONCURRENCY OF MEDIANS THEOREM |
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Definition
| THE MEDIANS OF TRIANGLE ARE CONCURRENT AT A POINT THAT IS TWO-THIRDS THE DISTANCE FROM EACH VERTEX TO THE MIDPOINT OF THE OPPOSITE SIDE |
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Term
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Definition
| IS THE PERPENDICULAR SEGMENT FROM A VERTEX OF THE TRIANGLE TO THE LINE CONTAINING THE OPPOSITE SIDE. AN ALTITUDE OF A TRIANGLE CAN BE INSIDE OR OUTSIDE THE TRIANGLE, OR IT CAN BE A SIDE OF THE TRIANGLE |
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Term
| CONCURRENCY OF ALTITUDES THEOREM |
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Definition
| THE LINES THAT CONTAIN THE ALTITUDES OF A TRIANGLE ARE CONCURRENT |
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Term
| ORTHOCENTER OF THE TRIANGLE |
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Definition
| THE LINES THAT CONTAIN THE ALTITUDES OF S TRIANGLE ARE CONCURRENT, THE ORTHOCENTER OF A TRIANGLE CAN BE INSIDE, ON, OR OUTSIDE THE TRIANGLE |
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