When working with GPS it can become tedious to recreate the same construction over and over again.  The following are common GPS Constructions that we will be using throughout this class.

1. Centroid

2. Orthocenter

3. Circumcenter

4. Circumcircle

5. Incenter

6. Incircle

7. Medial triangle

8. Orthocenter, Mid-segment triangle.

9. Orthic triangle

10. Pedal triangle

11. Center of Nine point circle

12. Nine Point Circle

13. Trisecting a line segment

14. Equilateral triangle, given a side

15. Square, given a side

16. Isosceles triangle, given base and altitude

17. Triangle Centers (H, G, C, and I)

18. Triangle Centers with Euler Line

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.

21. Pentagon, given a radius.

22. Pentagon, given a side.

23. Hexagon, given a side.

24. Octagon, given a side.

25. Tangent Circles #1

26. Tangent Circles #2

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