**1. Centroid
Script Tool**

*The Centroid
of a triangle is defined as the common intersection of the three
medians of a triangle, where a median of a triangle is the segment
from the vertex to the midpoint of the opposite side.*

Click on the
triangle below to open a file in GSP with an example script tool
(including instructions) that finds the Centroid of any given
triangle. *(The
point, G, is the Centroid of the triangle ABC.)*

**2. Orthocenter
Script Tool**

*The Orthocenter
of a triangle is found at the common intersection of the three
altitude lines of a the triangle.*

Click on the triangle DEF below in order to open GSP and use a script tool to create your own triangle with the Orthocenter.

**3. Circumcenter
Script Tool**

*The Circumcenter
of a triangle is the point in the plane equidistant from the three
vertices of the triangle. In order to find the Circumcenter of
a triangle, first find the three medians of the triangle and then
use these median points to find the perpendicular bisectors of
each side of the triangle. The intersection of the three perpendicular
bisectors will be the Circumcenter.*

Click on the triangle below to open GSP and use the script tool to create your own triangle showing the Circumcenter.

Note: The Circumcenter of a triangle is the center of the circumscribed circle of that triangle. Click on the triangle, XYZ, below in order to create your own triangle & circumscribed circle in GSP.

**5. Incenter
& 6. Incircle Script Tools**

*The Incenter
of a triangle is the point on the interior of the triangle that
is equidistant from the three sides. It can be found by bisecting
all three of the angles within a triangle. The point of intersection
of the three angle bisectors is called the Incenter. The Incenter
is also the center of the inscribed circle of the triangle. See
the triangle ABC below showing the 3 angle bisectors in orange
and the Incenter, I. Also, the inscribed circle is shown in green.*

Click on this triangle to open GSP and use a script tool to create your own Incenter /Incircle triangle.

**7. Medial
Triangle Script Tool**

*The Medial
Triangle is created by connecting the midpoints of the sides of
a triangle. The smaller, shaded triangle in the figure below is
the medial triangle of the larger triangle. Click on the triangle
below to open GSP and use a script tool to create your own medial
triangle.*

**8. Orthocenter,
Mid-segment triangle Script Tool**

*Click on
the triangle figure below to create your own mid segment triangle
and its Orthocenter in GSP.*

**9. Orthic
Triangle Script Tool**

*Click on
the example triangle below to open GSP.*

**10. Pedal
Triangle Script Tool**

*See the
example below. The shaded triangle, LMN, is the Pedal triangle
for triangle ABC and pedal point P. You may click on this diagram
to open GSP and create your own pedal triangle using the script
tool provided.*

**11. Nine
point circle and 12. Its center Script Tools**

*Click on
either of the figures below to open GSP and create your own 9-pt
circle with center.*

**13. Trisecting
a line segment - Script Tool**

*Click on the line to
open GSP for trisection script tool.*

*14. Click
here
for a GSP script tool to create an equilateral triangle, given
a side.*

*15. Click
here
for a GSP script tool to create a square, given a side.*

*16. Click
here
for a GSP script tool to create an isoceles triangle, given base
and altitude.*

*17. Click
here
for a GSP script tool to create a triangle and the 4 centers (G
- Centroid, H - Orthocenter, C - Circumcenter, and I - Incenter).*

*18. Click
here
for a GSP script tool to find the triangle centers and the Euler
Line. See figure below.*

*19. *Click
here for
a GSP script tool that will draw the locus of a vertex of a fixed
angle that subtends a fixed segment.

*20. Click
here
to use a GSP script tool in order to divide a line segment AB
into two parts that form the GOLDEN RATIO.*

*21. Click
here
for a GSP script tool that creates a PENTAGON given a radius.*

*22. Click
here
for a GSP script tool that creates a PENTAGON given a side.*

*23. Click
here
for a GSP script tool that will create a HEXAGON given a side.*

*24. Click
here
for a GSP script tool that will create an OCTAGON, given a side.*