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?

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10-09-2020
Mathematics

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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?

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0pt1m15t1c 0pt1m15t1c · Answer 1 · 2020-12-14T15:38:45+01:00

0pt1m15t1c 0pt1m15t1c

14-12-2020

Answer:

the person above me is correct, its d

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ayoushivt ayoushivt · Answer 2 · 2022-07-19T07:31:13+02:00

Karina's statement is accurate, as the minimum requirement for a trapezoid is one pair of parallel sides.

What is a Trapezoid?

A trapezoid is a polygon with four sides. If one side of a quadrilateral is parallel to the other it is a Trapezoid.

The statement written by Nico is

A 4-sided polygon with at least one pair of parallel sides must be a parallelogram.

The statement written by Karina is

A 4-sided polygon with at least one pair of parallel sides must be a trapezoid.

Nico's statement is incorrect because a polygon with a minimum of 2 pairs of parallel sides is a Parallelogram.

Karina's statement is correct, as a minimum of one pair of parallel sides is needed to make a trapezoid, more than one pair is a parallelogram but that is also a trapezoid with two pairs of parallel sides.

Therefore, Karina's statement is accurate.

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