Assignment 5 - Various Scripts for Geometer's Sketchpad

David Hornbeck

CENTERS OF A TRIANGLE

1. Centroid (G) of a triangle

2. Orthocenter (H) of a triangle

3. Circumcenter (C) of a triangle

4. Incenter (I) of a triangle

5. All four centers (C,G,H,I) of a triangle

6. The Euler segment - the line through the centroid, orthocenter, and circumcenter (C,H,G)

INSCRIBED AND CIRCUMSCRIBED CIRCLES

7. Circumcircle of a triangle

8. Incircle of a triangle

SPECIAL TRIANGLES INSIDE TRIANGLES

9. Medial Triangle

10. Orthic Triangle

11. Pedal Triangle

SPECIAL OBJECTS OF/IN A TRIANGLE

12. Nine Point Circle & its center

13. Orthocenter of the Medial Triangle

CONSTRUCTIONS GIVEN A SIDE LENGTH OR LINE SEGMENT

(all polygons regular)

14. Equilateral triangle

15. Square

16. Pentagon - given that the line segment is the side length of the pentagon

17. Pentagon - given that the line segment is the radius of the circle circumscribing the pentagon

18. Hexagon

19. Octagon

20. Golden Ratio - the point that divides the segment into the golden ratio

21. Trisection of a line segment - the two points that divide a triangle into thirds