EMAT 6680

Assignment #5

Stephanie K. Lewis

GSP Scripts

1. Centroid

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

Equiangular triangles are also equilateral.

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.

Triangle Center C, the Circumcenter, is the point in the plane equidistant from the three vertices of the triangle. This sketch can be observed by looking at A5#3.

Triangle Center I, the Incenter, is the point on the interior of the triangle that is equidistant from the three sides. This sketch can be observed by looking at A5#5.

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.

21. Pentagon, given a side.

22. Hexagon, given a side.

23. Octagon, given a side.