Centers of Triangle Part Two
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9 terms
Terms | Definitions |
|---|---|
 Median definition | A segment that connects a vertex of a triangle to the midpoint of the opposite side. Only makes congruent segments. Doesn't have to be perpendicular. *Always passes through the vertices of a triangle. |
| Centroid | Point of concurrency of the medians of a triangle. |
| Location of Centroid | Always inside triangle. |
| Length of Centroid | Vertex to centroid is 2/3's of median. Centroid to midpoint of side is 1/3. |
| Altitude definition | A segment from a vertex of a triangle perpendicular to the line containing the opposite side. Doesn't have to cut side in half. *Always passes through vertices of a triangle |
| Orthocenter | point of concurrency of the altitudes of a triangle |
| Location of orthocenter | Acute triangle=inside Right triangle=on Obtuse triangle=outside |
| Euler's Line | Circumcenter, orthocenter, and centroid are always in a line in a triangle. |
| Equilateral triangle | A triangle with congruent sides. The circumcenter, orthocenter, incenter, and centroid are in the same location. |
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