EMAT 6680

Assignment #5

Stephanie K. Lewis


GSP Scripts



1. Centroid


Centroid Script

Centroid Sketch:












2. Orthocenter




















3. Circumcenter


4. Circumcircle









5. Incenter



6. Incircle











7. Medial triangle
















7a. Orthocenter, Mid-segment triangle



8. Orthic triangle






















9. Pedal triangle



A triangle inscribed in

a given triangle in the following

manner: its vertices are the feet

of the three perpendiculars to

the sides from some point

inside the given triangle.

















10. Center of Nine-point circle

11. Nine Point Circle




















12. Trisecting a line segment




13. Equilateral triangle, given a side





















14. Square, given a side

















Note: Each angle is 90° , and all sides are equal.





15. Isosceles triangle, given base and altitude














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


Triangle Center H, the Orthocenter, is the point at which the three lines containing the altitudes intersect. This sketch can be observed by looking at A5#2.


Triangle Center G, the Centroid, is the common intersection of the three medians. This sketch can be observed by looking at A5#1.


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.