By: Isaac Fernando and Kevin Chung
Do Now: what is a point of concurrency?
Formed by the medians of a triangle The centroid of a triangle is located two-thirds of the distance from a vertex to the midpoint of the side opposite the vertex on a median 1)Draw the point of concurrency of a right triangle 2)Draw the point of concurrency of an obtuse triangle.
Formed by the perpendicular bisectors of a triangle. The circumcenter of a triangle is equidistant from the vertices of the triangle Acute triangle-point is within the triangle Right triangle-point is on the triangle Obtuse Triangle-point is outside the triangle 1)Draw the circumcenter of an Acute triangle. 2)Draw the circumenter of a right triangle
Formed by the angle bisectors The incenter of a triangle is equidistant from each side of the triangle Always inside the triangle 1)Draw the Incenter of a right triangle
Formed by the altitudes of a triangle The centroid, circumcenter, and orthocenter are collinear Acute Triangle-point is inside the triangle Right Triangle-point is on the triangle Obtuse triangle-point is outside the triangle 1)Draw the orthocenter of an obtuse triangle. 2)Draw the orthocenter of an acute triangle.