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.

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

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

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

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

The incircle is the inscribed circle of the triangle.

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

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

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

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

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

This tool trisects a given line segment

This tool constructs an equilateral triangle if given a side.

This tool constructs a square, given a side.

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

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

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

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.

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

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

This tool constructs a regular pentagon given a side length.

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

This tool constructs a regular octagon given a side length.

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.

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.

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.

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

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: