friend constructs line xy so that it is perpendicular to and contains the midpoint of line AB. he claims that line AB is the perpendicular bisector of line line XY. what is his error

2 answers

well heck - just draw line XY so that it has a small bit on one side of AB and a long bit on the other side.

XY is the perpendicular bisector of AB, not necessarily the other way around.
thank you! i was really just about to write "there is no error"