By: Isaac Fernando and Kevin Chung.  Do Now: what is a point of concurrency?

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Presentation transcript:

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.