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Q: What is a four-sided polygon with all sides parallel and congruent?

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

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

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

a trapezoid

A general quadrilateral is a four sided polygon with no parallel sides and no congruent sides.

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.

A polygon with all congruent sides is a regular polygon.

Rhombus (or square).

A polygon with five congruent sides is a pentagon.

A polygon with all sides congruent is a square.

A parallelogram.

A regular polygon is a polygon with congruent sides and interior angles.

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