Important POINTS of Triangle
Orthocenter(H), given 3 points
Circumcenter(C), given 3 points
Above Triangle 4centers (H, G, C, and I) , given 3 points
Above Triangle 4centers (H,G,C,and I)with Euler Line ,given 3points
Important CIRCLES of Triangle
Nine Point Circle, given 3 points
TRIANGLES
Pedal Triangle, given three points and more one point (as Pedal point)
Regular triangle, 2points (Point A and point O; O is center of triangle)
Regular triangle, 2points (point A and point B)
Isosceles triangle, 2points (point A and point B)
Right triangle, 2points (point A and point B)
QUADRANGLES
Square quadrangle1, given 2 points (pointA and point O)
Square quadrangle2, given 2 points (point A and point B)
Square quadrangle, given a side
POLYGON
Pentagon, given two points (vertex and center)
Hexagon, given two points (center and vertex).
CURVES
Parabola, given a line (Directrix) and a point (Focus)
Hyperbora/Ellipse, given three points