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Points of Concurrency. By: Isaac Fernando and Kevin Chung. Aim: Points of Concurrency. Do Now: what is a point of concurrency?. Centroid. Formed by the medians of a triangle
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Points of Concurrency By: Isaac Fernando and Kevin Chung
Aim: Points of Concurrency • Do Now: what is a point of concurrency?
Centroid • 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.
Circumcenter • 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
Incenter • 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
Orthocenter • 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.
