Mathematics

Mathematics

Problem

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

Browse the problem library