To confirm that a quadrilateral with vertices P, Q, R and S is a parallelogram

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

To confirm that a quadrilateral with vertices P, Q, R and S is a parallelogram, which single calculation would be the MOST appropriate? (a) Show that the diagonals PRPR and QSQS are equal in length. (b) Show that one pair of opposite sides, say PQPQ and RSRS, have the same length. (c) Show that the midpoints of PRPR and QSQS coincide. (d) Show that the slope of PQPQ equals the slope of RSRS.

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