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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) ...

SSC SSC CGL Tier 2 Medium Triangle and its various kinds of centres MCQ

Question

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) ΔPQQ is congruent to ΔRQO.

Which of the above statements are correct?

Options

A.

Only (i) and (ii)

B.

Only (i) and (iii)

C.

Only (ii) and (iii)

D.

Only (ii)

triangleisoscelesangle bisectorcongruencegeometry

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