Assignment 5

by

Allison McNeece

Library of useful definitions, constructions and tools

Click on the name to go to a GSP file which contains the tool to construct each figure.

 Centroid: the centroid of a triangle is the intersection of the three medians Circumcenter: the circumcenter is where the three perpendicular bisectors of a triangle intersect Orthocenter: The orthocenter is the point where the three altitudes of a triangle intersect Incenter : The Incenter is the point where the three angle bisectors of a triangle intersect Incircle: the incircle is an the inscribed circle (with the incenter as the center) that is tangent to each side of the triangle Medial triangle: the vertices of the medial triangle are the midpoints of the sides of the original triangle Orthocenter, Mid-segment triangle: the triangle orthocenter mid-segment triangle has vertices formed by the midpoints of the segments between the orthocenter and the vertices of the original triangle Orthic triangle: the vertices of the orthic triangle are the endpoints of the altitudes of the original triangle Pedal triangle: The vertices of a pedal triangle are formed, given a point P, by the feet of the perpendiculars from P to the side lines