Write-up # 5


Scripts for Various Geometer's SketchPad Constructions

by

Holly Anthony

Fall 2001 

The following is a list of GSP scripts that I believe are most useful.

(Note: you must have Geometer's SketchPad installed on your computer to view the following links.)


To play the following scripts, you must have Geometer's SketchPad open; then you should construct the given points, lines, etc. listed by each script below. These 'given' constructions should all be selected/highlighted before you play the script. 

Triangle Centers and Related Constructions

Centroid (given three vertices of a triangle)

Orthocenter (given three vertices of a triangle)

Circumcenter (given three vertices of a triangle)

Incenter (given three vertices of a triangle)

Triangle Centers ( H, G, C, and I ) (given three vertices of a triangle)

Circumcircle (given three vertices of a triangle)

Incircle (given three vertices of a triangle)

Excircle (given three vertices of a triangle and an extra point on an extended side)

Medial Triangle (given three vertices of a triangle)

Orthocenter, Mid-segment Triangle (given three vertices of a triangle)

Orthic Triangle (given three vertices of a triangle)

Pedal Triangle (given three vertices of a triangle and an extra point)

Center of Nine Point Circle (given three vertices of a triangle)

Nine Point Circle (given three vertices of a triangle)

Euler Line (given three vertices of a triangle)


Polygons

Square (given the endpoints of a side)

Pentagon (given the endpoints of a side)

Pentagon (given the endpoints of a radius)

Hexagon (given the endpoints of a side)

Octagon (given the endpoints of a side)

Decagon (given the endpoints of a radius)

Dodecagon (given the endpoints of a side)


Segments

Trisecting a Line Segment (given the endpoints of a side)

Golden Ratio: divide a Segment AB into two parts that form the Golden Ratio.


Other Constructions

Equilateral Triangle (given the endpoints of a side)

Isosceles Triangle (given the endpoints of the base and the endpoints of the altitude)

Parabola (given the endpoints of its directrix and its focus)


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