In ΔPQR,PQ=QR and O is an interior point of ΔPQR such that ∠OPR=∠ORP. Consider the following statements:
(i) ΔPOR is an isosceles triangle.
(ii) O is the centroid of ΔPQR.
(iii) ΔPQO is congruent to ΔRQO.
Which of the above statements are correct?
1
Only (i) and (ii)
2
Only (i) and (iii)
3
Only (ii) and (iii)
4
Only (ii)