Refer to the following figure:
D and C are equidistant from O.
If any point P is is located such that △ ODP is congurent to △ OCP, then P lies on the ________.
Angular bisector of ∠DOC
Since △ ODP is congurent to △ OCP.
∴ ∠ DOP = ∠ COP, i.e. OP is the angular bisector of ∠ DOC.