Nico and Karina wrote these statements in their math journals.

Nico’s Statement
Karina’s Statement
A 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?
Nico is correct because if one pair of sides in a quadrilateral is parallel, the other pair must be also.
Karina is correct because a trapezoid has exactly one pair of parallel sides.
Both are correct because a 4-sided polygon with at least one pair of parallel sides must be both a parallelogram and a trapezoid.
Neither is correct because a 4-sided polygon with at least one pair of parallel sides could be either a parallelogram or a trapezoid.

Question

04-02-2021
Mathematics

Answered

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Nico and Karina wrote these statements in their math journals.

Nico’s Statement
Karina’s Statement
A 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?
Nico is correct because if one pair of sides in a quadrilateral is parallel, the other pair must be also.
Karina is correct because a trapezoid has exactly one pair of parallel sides.
Both are correct because a 4-sided polygon with at least one pair of parallel sides must be both a parallelogram and a trapezoid.
Neither is correct because a 4-sided polygon with at least one pair of parallel sides could be either a parallelogram or a trapezoid.

Sagot :

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