Question

Quadrilateral QRST has two pairs of congruentes sides, but it is not a parallelogram. What figure is it? What further condition would have to satisfy to be a parallelogram?

Answer 1

Answer:

The correct answer is:    [C]:

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  " {The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } ."

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Step-by-step explanation:

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Note that "all" squares are "parallelograms" ; and that "all" rectangles are

                "parallelograms" ;  

           yet:  "Not All parallelograms" are "squares" or "rectangles".

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The question asks:

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"Quadrilateral QRST has two pairs of congruent  sides, but it is not a parallelogram.  

What figure is it?  

What further condition would have to satisfy to be a parallelogram? "  .

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So;  we can rule out:

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"Answer choices:

[A]:  "The figure is a square..." ;

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[B]:   "The figure is a rectangle..." ;  AND :

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[D]: "The figure is a square..."  .

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We are left with:

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Answer choice:  [C]:  

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          " { The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } "  .

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