Characteristics of points of concurrency- Landi (H)
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16 terms
Terms | Definitions |
|---|---|
 incenter | point of concurrency of the three angle bisectors |
| incenter | equidistant from each side of the triangle |
| incenter | center of the inscribed circle |
| incenter and centroid | always in the triangles interior |
| circumcenter | point of concurrency of the three perpendicular bisectors |
| circumcenter | equidistant from each vertex of the triangle |
| circumcenter | center of the circumscribed circle |
| circumcenter | can lie in the exterior, interior, or on the triangle |
| orthocenter | point of concurrency of the three altitudes |
| orthocenter | in acute triangles, it is in the interior; obtuse- exterior; and it will be the vertex of the right angle |
| centroid | point of concurrency of the three medians |
| centroid | known as the center of mass/gravity |
| centroid | divides each median into parts such that the smaller is half the larger |
| euler line | the line that passes through the orthocenter, centroid and circumcenter |
| incenter | if the triangle is isosceles the ______ is also collinear with the other three points |
| equilateral | if the triangle is ______, all four points coincide (become one single point) |
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