5-2 to 5-4
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Created by:
meastman12 on October 7, 2011
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21 terms
Terms | Definitions |
|---|---|
 Perpendicular Bisector | a point is equidistant from 2 objects if it is the same distance from each |
| Perpendicular Bisector Theorm | If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. |
| Converse of the Perpendicular Bisector Theorm | If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment. |
| Angle Bisectors | distance from a point to a line |
| Angle Bisector Theorm | if a point is on the bisector of an angle, then the point is equidisntant from the sides of the angle |
| STUDY HOW TO DO PROBLEMS | n/a |
| Conncurent | three of more lines intersect at one point |
| Point of Concurrency | The point at which they intersect |
| Concurrency of Perpendicular Bisectors Theorm | Perpendicular bisectors intersect at a point that is equidistant from the verticies |
| Circumcenter | the point of concurrency of the perpendicular bisectors of a triangle |
| Circumcenter of a triangle can be.... | INSIDE AND OUTSIDE |
| Concurrency of Angle Bisectors Theorem | The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle. |
| Incenter | the point of concurrency of the angle bisector of a triangle |
| Median | a segment whose endpoint are a vertex and the midpoint of the opposite side |
| Centroid | point of concurrency of the medians (BALANCING POINT) |
| Concurrency of Medians Theorem | The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side. |
| What is the equation of the Concurrency of Medians Theorem | find the x-coordinate of the centroid divide the sum of the x-coordinate of the vertices by 3. do the same for y |
| Altitude | the perpendicular segments from a vertex of the triangle to the lind containing the opposite |
| Concurrency of Altitudes Theorem | The lines containing the altitudes of a triangle are congruent. |
| Orthocenter | lines that contain the altitudes of a triangle are conncurent |
| Peanut Butter Cookies Are Better If Mom Cooks After Oprah | Perp. Bisectors- Circumcenter Angle Bisectors- Incenter Medians- Centroid Altitudes- Orthocenter |
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