Centroid - the point of concurrency of the medians of a triangle

Circumcenter - the point of concurrency of the perpendicular bisectors of a triangle

Orthocenter - the point of concurrency of the altitudes of a triangle

Circumcircle - a circle that passes through all three vertices of a triangle

Incenter - the point of concurrency of the angle bisectors in a triangle

Incircle - a circle inscribed in a triangle

Medial Triangle - the triangle formed by connecting the midpoints of the sides of a triangle

Orthocenter, Mid-segment triangle - the triangle formed by connecting the vertices of the midpoints of teh segments that run from the orthocenter to the vertices

Orthic Triangle - the triangle formed by connecting the feet of the altitudes of a triangle

Pedal Triangle - the triangle formed by selecting a point a point in the plane, constructing lines from that point to the sides of the triangle, and connecting the three points of intersection with the 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

Divide a segment AB into two parts that form the Golden Ratio

Pentagon, given a radius

Pentagon, given a side

Hexagon, given a side

Octagon, given a side

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