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Question
question
select the statement that is the contrapositive of the following statement:
if a quadrilateral has two pairs of parallel sides, then it’s a parallelogram.
answer
if a quadrilateral has two pairs of
parallel sides, then it’s not a
parallelogram.
if a quadrilateral isn’t a
parallelogram, then it doesn’t have
two pairs of parallel sides.
if a quadrilateral doesn’t have two
pairs of parallel sides, then it’s not a
parallelogram.
if a quadrilateral is a parallelogram,
then it has two pairs of parallel
sides.
submit answer
A contrapositive of a statement "If P, then Q" is "If not Q, then not P". For the given statement "If a quadrilateral has two pairs of parallel sides (P), then it's a parallelogram (Q)", the contrapositive swaps and negates both parts: "If it's not a parallelogram (not Q), then it doesn't have two pairs of parallel sides (not P)".
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If a quadrilateral isn't a parallelogram, then it doesn't have two pairs of parallel sides.