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

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Q: Which shapes have opposite sides congruent and parallel?
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What shapes have opposite angles congruent?

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


What is the Opposite Sides Parallel and Congruent Theorem?

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.


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What shape has 4 sides Opposite sides are congruent Opposite sides are parallel Opposite angles are congruent?

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Not too sure of the question but a square or a rhombus has opposite sides that are parallel and congruent in length


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