The Script Keeper

by

Ryan Shannon

The Script Keeper is an introduction to 24 constructions and their scripts in Geometer Sketch Pad.

This includes photos and links to each construction shown below.

*This work is done on GSP 4.0*

The Centroid or point of intersection of the midpoints.

Given any three points, this will construct the midpoints, and connect to the opposite vertex to create the Centroid.

Circumcenter

The circumcenter is the point of intersection of lines that are perpendicular bisectors of each side.

Given three point, this will construct the perpendicular bisectors, and the intersection to create the Circumcenter.

Circumcircle

The circumcircle is the circle that passes through the vertex points of the triangle.

Given three points, this will construct the circumcircle.

Equilateral Triangle

A triangle that has three sides all in which are equal in size.

Given A segment, this will construct a triangle with all sides of equal length.

Euler Line

The line that passes through the orthocenter, the circumcenter, then centroid and is the center for the nine point circle

Given three points, this will construct a Euler Line.

Incenter

The point of intersection of the altitudes of a triangle.

Given three points, this will construct in incenter to the triangle.

Incircle

The circle with radius length of incenter to any intersection point on the triangle from the

line containing the altitude

Isosceles Triangle

The two sides of a triangle will be equal in length

Given on side of a triangle and a base, this application will construct an isosceles triangle.

Medial Triangle

The triangle that in formed from the midpoints of each side of the given triangle.

Given a side to a triangle, this application will find the medial triangle.

Nine Point Circle

The Circle constructed from the orthocenter, the midpoints of the sides and the foot of the lines that contain the altitudes.

Given a Triangle, this application will find the nine point circle constructed from the restrictions above.

The center of the circle in a nine point circle

Given a triangle, this will construct the center to the nine point circle.

Orthic Triangle

A triangle formed from the intersection of the lines that contained the altitudes and the sides the intersect.

Given a triangle this application will construct the orthic triangle.

Orthocenter

The point of intersection of the lines that contain the altitudes of the triangles.

Given a triangle, this application will find the orthocenter of the triangle.

Orthocenter Triangle

The mid points of the segments that are contained by the altitudes

Given a triangle, this application will find the orthocenter triangle.

Pedal Triangle

Given triangle DEF and a point not on the triangle, projected to triangle DEF.

This application will construct the pedal triangle to triangle DEF.

Square Stellation

A Square with Four equilateral triangles of side length equivalent to the length of the square drawn from each side of the square.

Given two points, this will construct the square stellation

Square

A four sided polygon with all sides of equal length

Given two points this will construct a square.

Given the radius to a circle

This application will find a regular hexagon.

Regular Hexagon Given Side

Given the side of a Hexagon

This application will find a regular hexagon to include the given side.

Given the radius of a circle

This application will find a regular hexagon to include the given radius.

Regular Pentagon Given Side

Given the side of a Pentagon

This application will find a regular hexagon to include the given side.

Given the radius of a circle

This application will find a regular octagon to include the given radius.

Regular Octagon Given Side

Given the side of a octagon

This application will find a regular octagon to include the given side.

Trisect a line

Given a line of an arbitrary length,

This application will find a trisection of that line.