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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?

Quadrilateral QRST has two pairs of congruentes sides, but it is not a parallelogram-example-1
User Deinlandel
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1 Answer

4 votes

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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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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User Scmccart
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