Term
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Definition
| A SEGMENT 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
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Definition
| 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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Term
| CONVERSE OF THE PERPENDICULAR BISECTOR THEORIES |
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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 THE 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 THE POINT IN THE INTERIOR OF AN ANGLE IS EQUIDISTANT FROM THE SIDES OF THE ANGLE, THE THE POINT IS ON THE ANGLE BISECTOR |
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Term
| PERPENDICULAR BISECTOR OF A TRIANGLE |
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Definition
| A LINE, SEGMENT, A RAY, OR A PLANE THAT IS PERPENDICULAR TO A SIDE FROM THE TRIANGLE AT THE SIDES MIDPOINTS |
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Term
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Definition
| THREE OR MORE LINES INTERSECT AT ONE POINT |
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Term
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Definition
| THE POINT AT WHICH THEY INTERSECT IS CALLED THE POINT OF CONCURRENCY |
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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 THE TRIANGLE |
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Term
| CIRCUMCENTER OF A ACUTE TRIANGLE |
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Definition
| IS IN THE INSIDE OF THE TRIANGLE |
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Term
| CIRCUMCENTER OF A RIGHT TRIANGLE |
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Definition
| ON THE HYPOTENUSE OF THE TRIANGLE |
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Term
| CIRCUMCENTER OF A OBTUSE TRIANGLE |
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Definition
| ON THE OUTSIDE OF THE TRIANGLE |
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Term
| CONCURRENCY OF 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 INCENTER IS ALWAYS INSIDE THE TRIANGLE |
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Term
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Definition
| A SEGMENT WHOSE ENDPOINTS ARE A VERTEX AND A MIDPOINT OF THE OPPOSITE SIDE |
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Term
| CONCURRENCY OF MEDIANS THEOREM |
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Definition
| THE MEDIANS OF A 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
| THE PERPENDICULAR SEGMENT FROM A VERTEX OF THE TRIANGLE TO THE LINE CONTAINING THE OPPOSITE SIDE |
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Term
| CONCURRENCY OF ALTITUDES THEOREM |
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Definition
| LINES THAT CONTAIN THE ALTITUDES OF A TRIANGLE ARE CONGRUENT |
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Term
| ORTHOCENTER OF A TRIANGLE |
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Definition
| THE ORTHOCENTER CAN BE IN THE INSIDE, ON, OR OUTSIDE THE TRIANGLE |
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