# 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 |