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Goals: · Identify and apply the incenter, orthocenter, circumcenter, and centroid of a triangle · Apply the definitions of angle bisector, perpendicular bisector, medians and altitudes of a triangle Concurrent - when three or more lines have a point in ____________. Point of Concurrency - the point of ______________ of concurrent lines. A F B G E D C Median - segment from a _____________ to the _____________ of the opposite side. Altitude - a ________________ segment from a vertex to the opposite side or the line containing the opposite side. Equidistant - Perpendicular Bisector - a segment that intersects another segment at it's _____________ and is also _____________. *any point on the perp. bisector is equidistant to the endpoints of the segment that was bisected. Angle Bisector - a ray that cuts an angle into two ____________, ____________ angles. * any point on the angle bisector is equidistant to the sides of the angle that was bisected. Circumcenter - where the three ________________________ of a triangle intersect - ________________ from the three ____________ of the triangle. - center of the circle that is circumscribed around the triangle. Incenter - where the three ________________________ of a triangle intersect - ________________ from the three ____________ of the triangle. - center of the circle that is inscribed in the triangle. Centroid - where the three ________________________ of a triangle intersect - centroid is _____________ of distance from the vertex to the midpoint of the opposite side. - _______________ point of a triangle. Orthocenter - where the three ________________________ of a triangle intersect