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Daniel J Smith Custom TMUA alpha · Q1

Logic & proof

PQRSPQRS is a quadrilateral, labelled anticlockwise.

Which one of the following is a sufficient but not necessary condition for PQRSPQRS to be a parallelogram?

APRPR and QSQS bisect each other
BPQ=QR=RS=SPPQ=QR=RS=SP
C∠P+∠R=180∘\angle P+\angle R=180^\circ and ∠Q+∠S=180∘\angle Q+\angle S=180^\circ
DPRPR bisects QSQS

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