# A Library of Geometer's Sketchpad Script Tools

### Assignment 5

### Erin Horst

Please find below a library of Geometer's Sketchpad script
tools for you to explore and enjoy.

- Centroid - the intersection of
the three medians of a triangle
- Orthocenter - the intersection
of the three altitudes of a triangle
- Circumcenter - a point equidistant from the three vertices
of a triangle
- Circumcircle - a circumscribed circle around a triangle
- Incenter - a point in the interior
of a triangle equidistant from all three sides of the triangle
- Incircle - an inscribed circle
within a triangle
- Medial triangle - a triangle with
vertices of the three midpoints of a circumscribed triangle
- Mid-segment triangle - a triangle
DEF constructed by the vertices of the midpoints of triangle
ABC
- Orthic triangle - a triangle DEF
with vertices constructed by the intersection of the altitudes
of vertices of triangle ABC and each respective opposite side
- Pedal triangle - a triangle DEF constructed
by joining the intersections of perpendiculars from a given point
O to the sides of a given triangle ABC
- Center of Nine point circle
- a circle centered around O the orthocenter of triangle ABC
- Nine Point Circle - a circle
constructed by the nine points: 3 midpoints of each side of triangle
ABC, 3 points of intersection of each side of triangle ABC and
each respective altitude, 3 midpoints between each vertice and
the orthocenter along the vertice's corresponding altitude
- Trisecting a line segment
- a segment divided into three equal parts
- Equilateral triangle, given a side
- Square, given a side
- Isosceles triangle, given base and
altitude
- Triangle Centers (H, G,
C, and I)
- Triangle Centers with Euler Line
- a line that passes through the circumcenter, orthocenter, and
centroid of a given triangle
- Locus of vertex of a fixed angle that
subtends a fixed segment
- Divide a segment AB into two parts
that form a golden ratio
- Pentagon, given a radius -
5 sided polygon with equal sides and angles
- Pentagon, given a side - 5 sided polygon with equal sides
and angles
- Hexagon, given a side - 6 sided
polygon with equal sides and angles
- Octagon, given a side - 8 sided
polygon with equal sides and angles

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