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ED || QO => ∠PED = ∠PQO => ΔPED is similar to ΔPQO (angle at P is common) => PE / PQ = PD / PO
DF || OR => ∠PFD = ∠PRO => ΔPFD is similar to Δ PRO (angle at P is common) => PF / PR = PD / PO
Hence PF / PR = PE / PQ => ΔPEF is similar to ΔPQR (angle at P is common) => ∠PEF = ∠PQR => EF || QR
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