Nico and Karina wrote these statements in their math journals.Nico’s StatementKarina’s StatementA 4-sided polygon with at least one pair of parallel sides must be a parallelogram.A 4-sided polygon with at least one pair of parallel sides must be a trapezoid.Which describes the accuracy of their statements and why?

A quadrilateral with at least one pair of parallel sides could have exactly one parallel pair, making it a trapezoid, or two parallel pairs, making it a parallelogram. So Nico’s statement is too broad, and Karina’s is also too broad because the quadrilateral need not have exactly one pair. Neither statement is always correct; choice D describes this distinction.

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