Allyson Faircloth


1. Centroid – (G) intersection of the segments from the midpoints of each side to the opposite vertex

2. Orthocenter – (H)intersection of the altitudes

3. Circumcenter – (C) intersection of the perpendicular bisectors to the three sides

4. Circumcircle – circumscribed circle for a triangle

5. Incenter – (I) intersection of the angle bisectors

6. Incircle – inscribed circle for a triangle

7. Medial triangle – triangle with vertices at the midpoints of the original triangle

8. Mid-segment triangle – segment which joins two midpoints of a triangle and is parallel to the third side

9. Orthic triangle – triangle with vertices being the intersections of the altitudes with the sides of the original triangle

10. Pedal triangle – triangle obtained by projecting a point onto the sides of a triangle

11. Center of Nine point circle – center of the nine point circle

12. Nine Point Circle – the circle which lies on the three midpoints of the sides, the intersection of the altitudes with the sides, and the three midpoints of the       segments joining the orthocenter to the vertices of the triangle

13. Trisecting a line segment – a trisected line segment

14. Equilateral triangle, given a side – triangle with equal length sides

15. Square, given a side - square

16. Isosceles triangle, given base and altitude – triangle with two sides of equal length

17. Triangle Centers (H, G, C, and I) – triangle with centroid, orthocenter, circumcenter, and incenter

18. Triangle Centers with Euler Line – triangle with centroid, orthocenter, circumcenter, incenter, and Euler Line (line passing through the circumcenter, centroid, and orthocenter of the triangle)

19. Locus of vertex of a fixed angle that subtends a fixed segment -

20. Divide a segment AB into two parts that form a golden ratio – semment divided into two parts which form a golden ratio

21. Pentagon, given a radius – five sided polygon constructed from a radius

22. Pentagon, given a side – five sided polygon constructed from one side

23. Hexagon, given a side – six sided polygon constructed from a side

24. Octagon, given a side – eight sided polygon constructed form a side


Click here for a gsp file with all the scripts