1. Obj. 22 Triangle Segments The student is able to (I can): Identify the circumcenter and incenter of a triangle Identify altitudes and medians of triangles Identify the orthocenter and centroid of a triangle Use triangle segments to solve problems

2. circumcenterThe intersection of the perpendicular bisectors of a triangle. 3. circumcenterThe intersection of the perpendicular bisectors of a triangle.It is called the circumcenter, because it is the center of a circle that circumscribes the triangle (all three vertices are on the circle). 4. incenterThe intersection of the angle bisectors of a triangle. 5. incenterThe intersection of the angle bisectors of a triangle.It is called the incenter because it is the center of the circle that is inscribed in the circle (the circle just touches all three sides). 6. medianA segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.altitudeA perpendicular segment from a vertex to the line containing the opposite side. 7. centroidThe intersection of the medians of a triangle. It is also the center of mass for the triangle. 8. Centroid Theorem The centroid of a triangle is located of the distance from each vertex to the midpoint of the opposite side.2 3HXG2 GR = GY 3Y RZ2 HR = HZ 3J2 JR = JX 3 9. orthocenterThe intersection of the altitudes of a triangle.