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 a vertex of a fixed angle that subtends a fixed segment	Divide a segment AB into two parts that form the Golden Ratio
Pentagon, given radius	Pentagon, given a side
Hexagon, given a side	Octagon, given a side

 

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