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# Is quadrilateral q a rhombus?

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29 Nov 2012, 12:06
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Is quadrilateral q a rhombus?

(1) Quadrilateral q has four equal sides
(2) Quadrilateral q has four equal angles
[Reveal] Spoiler: OA

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Re: Is quadrilateral q a rhombus? [#permalink]

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30 Nov 2012, 04:01
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Is quadrilateral q a rhombus?

Definition: rhombus is a quadrilateral with all four sides equal in length.

(1) Quadrilateral q has four equal sides --> quadrilateral q is a rhombus. Sufficient.

(2) Quadrilateral q has four equal angles. Quadrilateral q could be a rectangle (which is not a square, thus not a rhombus) as well as a square, thus a rhombus. Not sufficient.

For more on Polygons check: math-polygons-87336.html

Hope it helps.
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Re: Is quadrilateral q a rhombus? [#permalink]

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02 Dec 2012, 05:19
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Simba2012 wrote:
Bunuel
But a square can also have all equal sides so how can statement A is sufficient?

All squares are rhombuses, thus if q is a square then it's a rhombus too.
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Re: Is quadrilateral q a rhombus? [#permalink]

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01 Dec 2012, 16:14
Bunuel
But a square can also have all equal sides so how can statement A is sufficient?
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Re: Is quadrilateral q a rhombus? [#permalink]

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14 Jul 2016, 06:07
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Re: Is quadrilateral q a rhombus? [#permalink]

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14 Mar 2017, 19:56
Is quadrilateral q a rhombus?

(1) Quadrilateral q has four equal sides
(2) Quadrilateral q has four equal angles

Statement (1) tells us that the quadrilateral has four equal sides- a rhombus, which can also be a square, has four equal sides. Sufficient.

Statement (2) tells us that the quadrilateral has four equal angles- though, a rectangle also has four equal angles. Insufficient.
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Re: Is quadrilateral q a rhombus? [#permalink]

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15 Mar 2017, 02:06
the property for the rhombus is all four side is equal and the diagonal bisect each other at right angle.

St 1: SUFFICIENT
ST 2: INSUFFICIENT as the quadrilateral might be rectangle or a square. INSUFFICIENT

Option A
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Re: Is quadrilateral q a rhombus?   [#permalink] 15 Mar 2017, 02:06
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# Is quadrilateral q a rhombus?

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