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 – 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