5-4 Triangle Perpindicular Bisectors, Medians, and Altitudes Flashcards
Perpendicular Bisector
a line that intersects a segment at its midpoint and is perpendicular to the segment. A triangle contains exactly 3 perpendicular bisectors
concurrency of perpendicular bisectors theorem
the perpendicular bisectors of the sides of a triangle are congruent at a point equidistant to the vertices of the triangle
Congruent
When three or more lines intersect at one point
Angle bisector
a ray that divides an angle into two congruent angles. A triangle contains exactly 3 angle bisectors
concurrency of angle bisector theorem
the bisectors of the angles of a triangle are congruent at a point equidistant from the sides of a triangles
median of a triangle
a segment whose endpoints are a vertex and a midpoint opposite side of a triangle
concurrency of medians theorem
the medians of a triangle are concurrent at one point that is two thirds the distance from each vertex
Altitude(height) of a triangle
a perpendicular segment from a vertex of the triangle to the opposite side or to the line containing the opposite side a triangle contains 3 altitudes
perpendicular bisector
circumcenter
angle bisector
in center
Medians
centroid
Altitude
Orthocenter