Summer's Geometer's Sketchpad Script Library

Below you will find several links to GSP script constructions that are useful. These constructions appear frequently in several mathematical problems and applications. It is useful to refer to a script to perform the construction rather than having to redo a construction from scratch.

To open and use the scripts, you will need to have Geometer's Sketchpad on your computer. Simply click on the link and the script will open. There are instructions next to each script which detail the givens of the construction. You will need to draw and select these givens before playing the script. Once the givens are selected, simply press the play button on the script to have the construction performed for you!

Triangle Centers

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

Special Triangles

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)

Special Circles

GSP Script	Given
Circumcircle	Three vertices of any triangle
Incircle	Three vertices of any triangle
Nine-Point Circle	Three vertices of any triangle

Regular Polygons

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)

Other Constructions

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

Return to Summer's Main Page