GSP Script |
Given |
Centroid |
Three vertices of any triangle |
Orthocenter |
Three vertices of any triangle |
Circumcenter |
Three vertices of any triangle |
Incenter |
Three vertices of any triangle |
Center of Nine-point Circle |
Three vertices of any triangle |
Triangle Centers(Centroid, Orthocenter, Circumcenter, and Incenter all at once.) |
Three vertices of any triangle |
Triangle Centers with Euler Line |
Three vertices of any triangle |
GSP Script |
Given |
Equilateral Triangle |
One side of triangle (i.e., 2 endpoints) |
Isosceles Triangle |
Base and altitude of triangle (select 2 endpoints for the base and 2 endpoints for the altitude) |
Medial Triangle |
Three vertices of any triangle |
Orthocenter, Mid-segment Triangle |
Three vertices of any triangle |
Orthic Triangle |
Three vertices of any triangle |
Pedal Triangle |
Three vertices of any triangle and any other point (4 points altogether) |
GSP Script |
Given |
Circumcircle |
Three vertices of any triangle |
Incircle |
Three vertices of any triangle |
Nine-Point Circle |
Three vertices of any triangle |
GSP Script |
Given |
Square |
One side (i.e., 2 endpoints) |
Pentagon (by a radius) |
Radius (i.e., 2 endpoints) |
Pentagon (by a side) |
One side (i.e., 2 endpoints) |
Hexagon |
One side (i.e., 2 endpoints) |
Octagon |
One side (i.e., 2 endpoints) |
GSP Script |
Given |
Trisect a segment |
2 endpoints of a segment |
Divide a segment into 2 parts that form a Golden Ratio |
2 endpoints of a segment |
Fermat Point |
Three vertices of any triangle |