Thomas Earl Ricks

Mathematics Education

 

Assignment # 5

 

ŌGSP Script ToolsĶ

 


 

This webpage is a collection of possible script tools to be used with GeometerÕs Sketchpad.

 

To activate a GSP script tool below, click on the title of the script tool or the corresponding picture.

 


 

Centriod

 

A centroid is the intersection of the medians of a triangle.

 

 

 


 

Orthocenter

 

The orthocenter is the intersection of the altitudes through each vertex.

 

 


 

Circumcenter

 

The circumcenter is the intersection of the perpendicular bisectors of the triangle.

 

 


 

Incenter

 

The incenter is formed by the intersection of the angle bisectors.

 


 

Incircle

 

The incircle is the inscribed circle of the triangle.

 


 

Medial Triangle

 

The medial triangle is formed by connecting the midpoints of the sides of the original triangle.

 

 


 

Orthocenter and Mid-segment Triangle

 

Connecting segments from the midpoints of the segments from the verticies of the original triangle and the orthocenter forms the mid-segment triangle.

 


 

Orthic Triangle

 

The orthic triangle is formed by connecting the feet of the altitudes of the original triangle.

 

 


 

Pedal Triangle

 

The pedal triangle is formed by connecting the feet of the altitudes from a given point in the plane (the pedal point) to form another triangle.

 

 


 

Center of Nine Point Circle

 

This tool finds the center of the nine point circle for a given triangle, as well as the resulting nine point circle.

 

 


 

Nine Point Circle

 

This tool constructs the nine point circle for a given triangle.

 

 


 

Trisection of a Segment

 

This tool trisects a given line segment

 

 


 

Equilateral Triangle

 

This tool constructs an equilateral triangle if given a side.

 


 

Square

 

This tool constructs a square, given a side.

 


 

Isosceles Triangle

 

This tool constructs an isosceles triangle if given a base length and height of the triangle.

 

 


 

Triangle Centers

 

This tool finds the:  Orthocenter, Centroid, Circumcenter, and Incenter for a given triangle.

 

 


 

Triangle Centers with Euler Line Segment

 

This tool connects the Centroid, Circumcenter, and Orthocenter in the Euler Line Segment, as well as construct the Incenter for a given triangle.

 

 


 

Locus of vertex of a fixed angle that subtends a fixed segment

 

This tool allows you to create the locus of points that a fixed angle subtending a segment creates.  To use the tool, first create the fixed angle, then draw the length of the line segment.

 

 


 

Golden Ratio of a Line Segment

 

This tool divides a given line segment into the golden ratio.

 

 


 

Pentagon

 

This tool constructs a regular pentagon, given a radius segment.

 

 


 

Pentagon

 

This tool constructs a regular pentagon given a side length.

 

 


 

Hexagon

 

This tool constructs a regular hexagon, given a side length.

 

 


 

Octagon

 

This tool constructs a regular octagon given a side length.

 


 

Tangent Circles

 

This tool creates two tangent circles (blue) to two previously drawn other circles (green).  To use this tool, draw the inside green circle first, then the outside green circle.

 


 

Tangent Circle #1

 

This tool draws the blue tangent circle to two previously drawn circles.  The tool starts with the inside green circle, then the outside green circle.


 

Tangent Circle #2

 

This tool draws another blue tangent circle to two previously drawn circles.  The tool starts with the inside green circle, then the outside green circle.


 

Four External Tangents

 

This tool creates the four external tangents to two separate circles.  To use this tool, start with the smaller circle, and then the larger.

 

 


 

External Top Tangent

 

This tool creates the top external tangent to two separate circles.  To use this tool, start with the smaller circle, and then the larger.

 

 


 

Here are some web links to some other GSP script tool libraries:

Denise BrewleyÕs Script Tools

Stephen BismarkÕs Script Tools

 


Home

Jim WilsonÕs Homepage

UGA Homepage