A student states, "If in a quadrilateral one pair of opposite sides is equal and parallel

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

A student states, "If in a quadrilateral one pair of opposite sides is equal and parallel, the quadrilateral must be a parallelogram." (i) Draw a labelled sketch of a quadrilateral ABCDABCD in which AB=CDAB = CD and AB∥CDAB \parallel CD. (ii) Give a logical explanation to justify the student’s statement. (iii) Name any two other independent conditions (without proof) under which a quadrilateral can be confirmed to be a parallelogram.

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