The point of concurrency of the Centroid three medians of the triangle. The perpendicular segment from one Altitude of vertex of the triangle to the line that Triangle contains the opposite side. are Point is the altitudes. O orthocenter. The point of concurrency of the Orthocenter three altitudes of a triangle. Theorems: Centroid Theorem The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side. Show: In , is the centroid Ex 1: P a. If , find and b. If then = ?. PT JT. x
Centroid The point of concurrency of the three medians of the triangle. Altitude of Triangle The perpendicular segment from one vertex of the triangle to the line that contains the opposite side. are altitudes. Point O is the orthocenter. Orthocenter The point of concurrency of the three altitudes of a triangle. Theorems: Centroid Theorem The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side. Show: Ex 1: In , P is the centroid a. If , find PT and JT. b. If then x = ?.
student_notes_-_geom_-_key_-_chapter_5_-_larson_cc.docx