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# Is quadrilateral q a rhombus?

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Director
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29 Nov 2012, 12:06
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45% (medium)

Question Stats:

41% (00:28) correct 59% (00:23) wrong based on 162 sessions

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

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30 Nov 2012, 04:01
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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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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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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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14 Jul 2016, 06:07
Hello from the GMAT Club BumpBot!

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14 Mar 2017, 19:56

(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 and is thus a rhombus. A rhombus is essentially an equilateral parallelogram. Also, all squares are rhombuses but not all rhombuses are squares. Sufficient.

Statement (2) tells us that the quadrilateral has four equal angles- though, a rectangle also has four equal angles and doesn't necessarily have to four equal sides unless it is square- which there is still not enough information to deduce. Insufficient.

A

Last edited by Nunuboy1994 on 06 Sep 2017, 20:58, edited 1 time in total.

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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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