| Centroid |
Orthocenter |
Circumcenter |
Circumcircle |
| Incenter |
Incircle |
Medial triangle |
Orthocenter, Mid-segment triangle |
| Orthic triangle |
Pedal triangle |
Center of Nine point circle |
Nine Point Circle |
| Trisecting a line segment |
Equilateral triangle, given a side |
Square, given a side |
Isosceles triangle, given base and altitude |
| Triangle Centers (H, G, C, and I) |
Triangle Centers with Euler Line |
Locus of vertex of a fixed angle that subtends a fixed segment |
Divide a segment AB into two parts that form a golden ratio |
| Pentagon, given a radius |
Pentagon, given a side |
Hexagon, given a side |
Octagon, given a side |