Mathematics

Mathematics

Problem

PQRSPQRS is a square. Its diagonals PRPR and QSQS intersect at OO. a. (i) What is the measure of ∠POQ\angle POQ? Give a brief reason. b. (ii) Prove that △PRO≅△QSO\triangle PRO \cong \triangle QSO. c. (iii) Deduce the relationship between OROR and OSOS.

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