The correct options are
A AP = BP
B AP = BQ
C ∠AOP = ∠BOP
Given
PQ is the perpendicular bisector of AB.
⇒∠AOP = ∠BOP = 90∘.
During construction, arcs are dawn on either side of AB with the same radius
⇒ AP = AQ
With the same radius and taking B as centre another two arcs are drawn to cut the previous arcs at P , Q .
⇒ AP = AQ = BP = BQ (Equal radii)
∴ AP = BP and AP = BQ is also true.