Assignment 3 & 4 Write-Up

The Problem:

Create scripts for at least 15 of these of the 23 geometric constructions given below. Use Geometer's Sketchpad and include links to GSP scripts of your constructions.


1. Centroid

2. Orthocenter

3. Circumcenter

4. Circumcircle

5. Incenter

6. Incircle

7. Medial Triangle

7a. Orthocenter, Medial Triangle

8. Orthic Triangle

9. Pedal Triangle

10. Center of Nine Point Circle

11. Nine Point Circle

12. Trisecting a Line Segment

13. Equilateral Triangle, given a side

Proof of Equilateral Triangle, given a side

14. Square, given a side

Proof of Square, given a side

15. Isosceles Triangle, given base and altitude

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

17. Triangle Centers with Euler Line

18. Locus of vertex of a fixed angle that subtends a fixed segment

19. Divide a segment AB into two parts that form a golden ratio

20. Pentagon, given a radius

21. Pentagon, given a side

22. Hexagon, given a side

23. Octagon, given a side

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