For example, suppose that we are given the intervals AB and AD in the diagram below. To construct a parallelogram using the definition, we can use the copy-an-angle construction to form parallel lines. The word ‘parallelogram’ comes from GreekĬonstructing a parallelogram using the definition Thus the quadrilateral ABCD shown opposite is a parallelogram because AB || DC and DA || CB. We begin with parallelograms, because we will be using the results about parallelograms when discussing the other figures.Ī parallelogram is a quadrilateral whose opposite sides are parallel. It is true that ‘If a number is a multiple of 4, then it is even’, but it is false that ‘If a number is even, then it is a multiple of 4’. Remember that a statement may be true, but its converse false.
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