7 Nathaniel proves that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment His proof is shown below Given BP is the perpendicular bisector of AC Prove AQ CQ A Statements ZOPA ZQPC PQ PQ Q BP is the perpendicular bisector of AC PA PC APAQ APCQ 40 00 P C Reasons Given Definition of perpendicular bisector Right angles are congruent Reflexive Property of Congruence Corresponding parts of congruent triangles are congruent