#15 PROOF Use the information in the figure to prove that ABCB if and only if points D, E, and B are collinear. E B D E B Because ADCD and AE CE, by the Converse of the Perpendicular Bisector Theorem, both points D and E are on the perpendicular bisector of AC t> If AB CB. then by the Converse of the Perpendicular Bisector Theorem, point B is also on DE Conversely, if points D, E, and B are collinear, then by the Perpendicular Bisector Theorem, point B is also on the perpendicular bisector of AC So, ABCB Then DE is the perpendicular bisector of AC So, points D, E, and B are collinear