Can a quadrilateral whose one pair of opposite sides is equal and one angle is 90 degrees. be a parallelogram? If not what figure could it be?
 

Dear Student,
Please find below the solution to the asked query:

If the quadrilateral has one 90° and one pair of opposite sides, then it is not always a parallelogram.

 
In the quad ABCD, AB=CD and B=90°.

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Yes, a rectangle if BOTH pairs of opposite sides are equal and parallel.
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