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Q: What is the name of a polygon with 4 congruent sides and opposite sides parallel?

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Any polygon with an even number of sides can have opposite sides that are congruent and parallel.

A four-sided polygon with opposite sides parallel and all sides congruent is a square.

Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.

A rectangle is a quadrilateral with opposite sides parallel and congruent and four right angles. If all four sides are congruent, it is a square.

The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.

A square's opposite sides are parallel and all the sides are congruent.

A square is a four-sided polygon with two congruent parallel sides.

Yes opposite sides are parallel and congruent

A square or a rhombus

No

There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.

There is no particular name. It need not be a regular polygon - for example, consider a stretched hexagon.

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