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Is quadrilateral ABCD is a parallelogram?

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Is quadrilateral ABCD is a parallelogram? [#permalink]

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New post 24 Jan 2018, 14:29
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Is quadrilateral ABCD is a parallelogram?

1) All four angles in quadrilateral ABCD are right angles
2) All four sides of quadrilateral ABCD are equal length

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[Reveal] Spoiler: OA

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Re: Is quadrilateral ABCD is a parallelogram? [#permalink]

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A parallelogram has opposite sides parallel to each other.

Statement 1: All angles are 90 so that means that the quadrilateral is either a square or a rectangle and both have parallel sides equal. Hence A is sufficient.


Statement 2: All sides are equal which means that the qudrilateral is a square, rhombus or a parallelogram and since all of them have two pairs of parallel verteces, they are all parallelograms. Hence B is sufficient.

'D' is the correct answer.

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Re: Is quadrilateral ABCD is a parallelogram? [#permalink]

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New post 24 Jan 2018, 20:09
GMATPrepNow wrote:
Is quadrilateral ABCD is a parallelogram?

1) All four angles in quadrilateral ABCD are right angles
2) All four sides of quadrilateral ABCD are equal length

*kudos for all correct solutions


Check Properties of Polygons Questions for similar problems.
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Re: Is quadrilateral ABCD is a parallelogram?   [#permalink] 24 Jan 2018, 20:09
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