# GSP Script Library

#### By Alicia Rosenberger

 1.centroid The centroid is located at the intersection of the medians of each side of the triangle. 2.Orthocenter The orthocenter is located at the intersection of the altitudes of each side of the triangle. 3.Circumcenter The circumcenter is located at the intersection of the perpendicular bisectors of each side of the triangle. 4.Circumcircle The circumcircle has a center at the circumcenter and passes through each vertice of the triangle. 5.Incenter The incenter is located at the intersection of the angle bisectors of the triangle. 6.Incircle The incircle has a center at the incenter of the triangle, with a radius being the perpendicular distance from the incenter to each side of the triangle. 7.Medial triangle The medial triangle has vertices at the midpoint of each side. 8.Orthocenter, Mid-segment triangle The vertices of the ortho mid-segment triangle are located at the midpoint of the segment that connects the orthocenter to each vertex of the original triangle. 9.Orthic triangle The orthic triangle's vertices are located at the foot of each altitude on each side of the original triangle. 10.Pedal triangle A pedal triangle is made by selecting a point P and creating the perpendiculars from each side to that point P. The vertices of the pedal triangle are located where the created perpendiculars intersect each side. 11.Center of Nine point circle The center of the nine point circle is at the mid point of Euler's line,the segment formed by the orthocenter and the circumcenter. 12.Nine point circle The nine point circle is formed using the midpoints of each side of a triangle, the foot of each altitude of the triangle, and the midpoint of the segment from the orthocenter to each vertex of the triangle. 13. Trisecting a line segment cuts a given line segment into three equal parts. 14.Equilateral triangle, given a side Given a line segment, an equilateral triangle is made up of all three sides equal to the line segment. 15.Square, given a side Given a line segment, a square is made up of all four sides equal to that line segment. 16.Isosceles triangle, given base and altitude Given a base length and altitude, create an isosceles triangle. 17.Triangle centers (H, G, C ,and I) Given a triangle, finds the orthocenter (H), centroid (G), circumcenter (C), and incenter (I). 18.Triangle centers with Euler Line Given a triangle, finds four centers of the triangle (H, G, C, I) which connect to form the Euler Line. 19.Locus of vertex of a fixed angle that substends a fixed segment Given a fixed angle, find the locus of the vertex. 20.Divide a segment AB into two parts that form a golden ratio Given a segment, divide the segment into the golden ratio. 21.Pentagon given a radius Given a radius, construct a pentagon. 22.Pentagon given a side Given a side length, construct a pentagon. 23.Hexagon given a side Given a side, construct a hexagon. 24.Octagon given a side Given a side, construct an octagon. 25. tangent circles tangent circles, one inside the other 26.Tangent Circles tangent circles, overlapping 27.Tangent Circles tangent circles, disjoint