A line, segment or ray is a perpendicular bisector of a segment if and only if it is perpendicular to the segment at its midpoint.
Work Step by Step
Reversing a statement is similar to writing the converse of a conditional in that you switch the phrases at the start and end of the statement. A line, segment or ray that is perpendicular to a segment at its midpoint is a perpendicular bisector. The given statement is reversible, because the reversed statement is true. To write a biconditional, separate the starting and ending phrases with "if and only if".