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If two sides of a quadrilateral are congruent and parallel then the quadrilateral is a ?

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If two sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.

A parallelogram is a quadrilateral with opposite sides parallel and congruent. If two sides of the quadrilateral are parallel, then the other two sides are also parallel (since opposite sides of a quadrilateral are parallel), and if two sides are congruent, then the opposite sides are also congruent (since opposite sides of a parallelogram are congruent).

Therefore, a quadrilateral with two sides congruent and parallel must be a parallelogram.
User Dancer
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Answer:

If two sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.

User Dinuka Salwathura
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