Guerrero Pena
08/31/2023 · High School

Justify why the following statement is false. "If a quadrilateral has one pair of parallel sides and one pair of congruent sides, then the quadrilateral must be a parallelogram."

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The statement is false because a quadrilateral with one pair of parallel sides and one pair of congruent sides is not necessarily a parallelogram. A counterexample is an isosceles trapezoid, which has these properties but is not a parallelogram.

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