| Term | Definition |
| centroid | the intersection of the median |
| orthocenter | the intersection of the altitudes |
| circumcenter | the intersection of the perpendicular bisectors |
| incenter | the intersection of the angle bisectors |
| centroid thm | 2/3 from the vertex and 1/3 from the segment |
| orthocenter | no relationship |
| circumcenter thm | equidistant from verticies of the triangle |
| incenter thm | equidistant from each side of the triangle |
| centroid | always inside |
| orthocenter | right-on the right angle, acute-inside, obtuse-outside |
| incenter | always on the inside |
| circumcenter | right- on hypotenuse, acute-inside triangle, obtuse-outside |
| midsegment | segment that connects the midpoints of two sides of a triangle |
| midsegment thm | the midsegment is parallel to the third side and is 1/2 as long |
| perpendicular bisector | cuts a segment into 1/2 and forms a right angle with segment, is both a median and an altitude |
| median | cuts a segment into 1/2 |
| altitude | measures how high by forming a right angle with a segment |
| angle bisector | cuts an angle into two equal parts |
| concurrent | they intersect |
| median segment | starts at vertex and cuts the opposite side in half |