**GSP Script Tools**

By: Diana Brown

Click on the
below links to open the GSP file of each term

Ø **Centroid** - The point of
intersection of the medians of a triangle. Also, the point in a figure or solid
which is the balance point, or center of gravity, of the figure or solid.

Ø **Orthocenter** - The point of
intersection of the altitudes of a triangle.

Ø **Circumcenter** - The point of
intersection of the perpendicular bisectors of the sides of a given triangle;
the center of the circle circumscribed about a given triangle.

Ø **Circumcircle** - The circle
that passes through all the vertices of a polygon.

Ø **Incenter** - The center of
a circle inscribed in a given triangle. Also, the point of intersection of the
angle bisectors of a triangle

Ø **Incircle** – The circle
that is inscribed in the center of a triangle.

Ø **Medial Triangle** - A triangle
constructed by connecting the three midpoints of the sides in a triangle.

Ø **Median of a Triangle** -
A segment is a median of a triangle if and only if its endpoints are a vertex
of the triangle and the midpoint of the side opposite the vertex.

Ø **Orthic triangle
**-
A triangle constructed by connecting the feet of the altitudes of a triangle.

Ø **Medial triangle
**-
A triangle constructed by connecting the three midpoints of the sides in a
triangle.

Ø **Triangle
Centers -** (H, G, C, and I) - The orthocenter, centroid,
Circumcenter, and Incenter of a triangle.

Ø **Triangle Centers
with Euler Line** – The line created by three of the centers (circumcenter,
centroid, and orthocenter) of a triangle.

Ø **Equilateral triangle
**–
A triangle with three equal sides.

Ø **Isosceles
Triangle** - A triangle with at least two sides having equal
lengths.

Ø **Square** - A
quadrilateral that has four right angles and four equal sides.

Ø **Pentagon** - A polygon with
5 sides.

Ø **Tangent Circles** – A circle that
is always tangent to two general circles

Ø **Pedal Triangle** – Let triangle
ABC be any triangle. Then if P is any point in the plane, then the triangle
formed by constructing perpendiculars to the sides of ABC (extended if
necessary) locate three points R, S, and T that are the intersections. Triangle
RST is the Pedal Triangle for