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

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

Ø    (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    – 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 Pedal Point P.