In $$\triangle PQR,PQ=QR$$ and O is an interior point of $$\triangle PQR$$ such that $$\angle OPR= \angle ORP$$.
Consider the following statements:
(i) $$\triangle POR$$ is an isosceles triangle.
(ii) O is the centroid of $$\triangle PQR$$.
(iii) $$\triangle PQO$$ is congruent to $$\triangle RQO$$.
Which of the above statements are correct?

A

Only (i) and (ii)

B

Only (i) and (iii)

C

Only (ii) and (iii)

D

Only (ii)