The point of intersection of a triangle's medians (the segments connecting each vertex to the midpoint of the opposite side). The centroid is the triangle's "center of gravity".

The point of intersection of the lines containing the altitudes of a triangle.

The point of intersection of the sides' perpindicular bisectors

**Circumcircle**** **The circle created using
the circumcenter as its center and a

vertex of the triangle as an outside point; the circumcircle contains the entire triangle.

The incenter is the point of intersection of the triangle's angle bisectors - it is a point equidistant from all sides of the triangle. The incircle is a circle created with the incenter as its center and with the triangle as its size. Regardless of the triangle's shape or size, the incircle will stay inside the triangle.

**Triangle
Centers (H,G,C,I):**** **The circumcenter, orthocenter, centroid and incenter
of a triangle.

**Triangle
Centers with Euler Line** The Euler Line connects the circumcenter, orthocenter
and centroid.

A triangle created by creating segments connecting the midpoints of the sides of the triangle.

**Orthocenter,
of a MedialTriangle**

**Orthic Triangle****: **A triangle created by
the segments connecting the base points of the 3 altitudes of
a triangle.

**Center
of Nine Point Circle****: **A nine point circle created to include the three mid-points
of the sides of the triangle, the three feet of the altitudes
of the triangle, and the three mid-points of the segments created
between the vertices and the orthocenter. The center of the circle
is then created at the intersection of perpindicular lines created
from the midpoints of the segments between any two neighboring
points included on the circle.

This script uses radial measures and intersecting lines to trisect a line segment.

**Equilateral
Triangle, Given a Side**

This script uses radial measures and perpindicular and parallel lines to create a square from a given side of the square.

**Divide a Segment
into Two Parts that Form a Golden Ratio**

**Pentagon,
Given a Side:**** **Uses radial measures to create a pentagon from a given
side.

**Hexagon,
Given a Side:** Uses radial measures,
parallel and perpindicular lines to create a hexagon from a given
side.

**Octagon,
Given a Side****: **Uses radial measures, parallel and perpindicular lines
to create an octagon from a given side.