Assignment 5

Creating and Using GSP Scripts

by Patricia Johnson

List of scripts

The Centroid (G) of a triangle is the common intersection of the three medians. A median of a triangle is the segment from a vertex to the midpoint of the opposite side.

The Orthocenter (H) of a triangle is the common intersection of the three lines containing the altitudes. An altitude is a perpendicular segment from a vertex to the line of the opposite side.

The Circumcenter (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle. C lies on the perpendicular bisector of each side of the triangle.

The Circumcircle (the circumscribed circle) of a triangle has the circumcenter (C) of the triangle as its center.

The Incenter (I) of a triangle is the point on the interior of the triangle that is equidistant from the three sides. I lies on the angle bisector of each angle of the triangle.

The Incircle (the inscribed circle) of a triangle has the incenter (I) of the triangle as its center.

The Medial triangle is constructed by connecting the three midpoints of the sides. It is similar to the original triangle and one-fourth of its area.

The Orthic triangle is constructed by connecting the feet of the altitudes.

To construct a Square, given a side.