Question

the segment in this diagram that divides ab into two congruent parts is called a(n): parallel line angle bisector.

Explanation:

A perpendicular bisector is a line that divides a segment into two congruent parts (bisects it) and is perpendicular to the segment. In the diagram, the segment divides \(\overline{AB}\) into two equal - length parts (as indicated by the tick marks) and forms a right angle (\(90^{\circ}\)) with \(\overline{AB}\). A parallel line would never intersect \(\overline{AB}\) in this way. An angle bisector divides an angle, not a line segment.

Answer:

perpendicular bisector