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segment bisector
divides a segment into 2 congruent segments
angle bisector
bisects an angle into two congruent angles
midpoint
divides a segment into 2 congruent segments
perpendicular lines
forms right angles and all right angles are congruent
median
gives you the midpoint of a segment that connects a vertex of a triangle to the midpoint of the opposite side.
altitude
an altitude forms perpendicular lines from a vertex to the opposite side of a triangle.