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Q: Which shape could never have parallel sides?

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Any conic section.

For a shape to have parallel sides it needs at least 4 sides

A trapezoid is a shape that has 4 sides and 2 parallel sides. The sides that are parallel are called the bases.

The only polygon that absolutely positively never has any parallel sides is a triangle. Any other shape comprised of four or more straight line segments could have one or more pairs that are parallel.

It could be an irregular polygon with 6 or more sides or, if a quadrilateral, it could be a parallelogram.

no...beacuse a parallelogram has to have parallel sides....a triangle can never have parallel sides

A 25-sided shape would have no parallel sides !

The shape that has 4 sides and 2 parallel is a trapezoid.

A rectangle is a shape that has four sides with two parallel lines.

If it has four equal sides, then two parallel sides implies two PAIRS of parallel sides. The shape is a rhombus.

Any polygon with four or more sides can have parallel sides.

It could be a trapezoid

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