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### 11 Cards in this Set

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 perpendicular bisector a line, segment, or ray that passes through the midpoint of the side and is perpendicular to that side circumcenter point of concurrency for perpendicular bisectors angle bisector a line, segment, or ray that divides an angle into two congruent parts incenter point of concurrency for angle bisectors median a segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite the vertex centroid point of concurrency for medians altitude a segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side orthocenter point of concurrency for altitudes Circumcenter Theorem The circumcenter of a triangle is equidistant from the vertices of the triangle. Incenter Theorem The incenter of a triangle is equidistant from each side of the triangle. Centroid Theorem 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.