SCRIPTS

By Leighton McIntyre

Goal : To examine scripts for GSP constructions

Assignment 5

The following scripts will be shown in this assignment

1. Centroid. The centroid of a triangle is the intersection of the three medians of the triangle. A median is a line from the midpoint of a side of a triangle to the opposite vertex. Click here for GSP demo.

2. Orthocenter. The orthocenter of a triangle is the intersection of the altitudes of the triangle. The altitude is the line from a vertex of the triangle perpendicular to the opposite side of the vertex. Click here for GSP demo.

3. Circumcenter is the intersection of the three perpendicular bisectors of the triangle. The perpendicular bisector is a line from the midpoint of one side of the triangle that is perpendicular to the midpoint. Click here for GSP demo

4. The circumcircle. The circumcenter of a triangle is a triangle's circumscribed circle. Click here for GSP demo

5. The Incenter. The incenter is the intersection of the three angle bisectors of the circle. Click here for GSP demo

6. The incircle. The incircle is the inscribe circle of the triangle. Click here for GSP demo

7. The medial triangle . The medial triangle is one whose vertices are the midpoints of a given triangle. Click here for GSP demo

8. Orthocenter, Mid-Segment Triangle - A triangle whose vertices are the midpoints of AH, BH, CH , where H is the orthocenter of the triangle. Click here for GSP demo

9. Orthic Triangle. This is constructed by connecting the feet of the altitudes of triangle ABC. Click here for GSP demo

10. Pedal Triangle. This is created by selecting an arbitrary triangle with an arbitrary point (P) which could be inside or outside of the triangle. The intersection of the three perpendicular lines from P to the sides of the triangle create the pedal triangle. Click here for GSP demo

11. Center of a Nine Point Circle. This lies on Euler's line midway between the circumcenter and the orthocenter. Click here for GSP demo

16. Isosceles Triangle, Given Base and Altitude. Click here for GSP demo

19. Locus of a vertex of a fixed angle that subtends a fixed segment. Click here for GSP demo

20. Divide a line segment AB into two parts which form a golden ratio. Click here for GSP demo