Michelle E. Chung
* EMAT6680 Assignment 5: Michelle's GSP Script Tools

* Please click the title if you want to see the script. (Attention: You need Sketch Pad to see them.)

 1. Centroid The CENTROID(G) of a triangle is the common intersection of the three medians. The ORTHOCENTER(H) of a triangle is the common intersection of the three lines containig the altitudes. The CIRCUMCENTER(C) of a triangle is the point in the plane equidistant from the three vertices of the triangle. The CIRCUMCIRCLE of a triangle is a circumscribed circle that passes three vertices of the triangle, and its center is the circumcenter. 5. Incenter The INCENTER(I) of a triangle is the point on the interior of the triangle that is equidistant from the three sides. 6. Incircle The INCIRCLE of a triangle is a inscribed circle whose center is the incenter. The MEDIAL TRIANGLE is a triangle with vertices as the midpoints of the triangle. The MID-SEGMENT TRIANGLE is a triangle that is formed by mid-segments of a triangle, which are the line segments joining midpoints of two sides of a triangle. The ORTHIC TRIANGLE is a triangle joining the feet of the altitudes of the triangle. The PEDAL TRIANGLE is a triangle whose vertices are the feet of perpendiculars from each vertex of the triangle to their opposite sides in the triangle. The CENTER OF NINE POINT CIRCLE is the center of the nine point circle. The NINE POINT CIRCLE is a circle that passes through nine significant points, six lying on the triangle itself (unless the triangle is obtuse). They include: The midpoint of each side of the triangle The foot of each altitude The midpoint of the segment of each altitude from its vertex to the orthocenter (where the three altitudes meet) This is how to draw TRISECTING points of a LINE SEGMENT. The EQUILATERAL TRIANGLE is a triangle that has three congruent sides. This is how to draw a EQUILATERAL TRIANGLE with GIVEN SIDE. The SQUARE is a quadrilateral that has four congruent sides and four congruent angles. This is how to draw a SQUARE with GIVEN SIDE. The ISOSCELES TRIANGLE is a triangle that has two congruent sides. The FOUR CENTERS OF TRIANGLES are ORTHOCENTER(H), CENTROID(G), CIRCUMCENTER(C), and INCENTER(I). The EULER LINE of a triangle is a line that passes the Center of nine point circle, the Circumcenter(C), Centroid(G), and Orthocenter(H) of the triangle. This is how to draw a LOCUS of the VERTEX of a FIXED ANGLE that SUBSTANDS a FIXED SEGMENT. The GOLDEN RATIO, phi, is 0.6180339887... A GOLDEN RATIO of a LINE SEGMENT is the ratio that is the length of the larger portion of the line segment to the length of the whole line segment. The PENTAGON is a polygon that has five sides. This is how to draw a PENTAGON with GIVEN RADIUS. The PENTAGON is a polygon that has five sides. This is how to draw a PENTAGON with GIVEN SIDE. The HEXAGON is a polygon that has six sides. This is how to draw a HEXAGON with GIVEN SIDE. The OCTAGON is a polygon that has eight sides. This is how to draw a OCTAGON with GIVEN SIDE.

Go Back to Michelle's Main Page
Go Back to EMAT 6680 Homepage