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Is quadrilateral q a rhombus?

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gmatbull
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Is quadrilateral q a rhombus? [#permalink] New post   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
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A
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Bunuel
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Re: Is quadrilateral q a rhombus? [#permalink] New post   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.

Answer: A.

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

Hope it helps.
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Re: Is quadrilateral q a rhombus? [#permalink] New post   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] New post   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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Is quadrilateral q a rhombus? [#permalink] New post   Updated on: 06 Sep 2017, 20:58
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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 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

Originally posted by Nunuboy1994 on 14 Mar 2017, 19:56.
Last edited by Nunuboy1994 on 06 Sep 2017, 20:58, edited 1 time in total.
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Re: Is quadrilateral q a rhombus? [#permalink] New post   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] New post   10 Nov 2018, 00:35
Byjus wrote:
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

Recently saw your video on kite properties. You have erroneously mentioned in the video that both the diagnols in a kite are perpendicular bisectors. I wasted an hour because of this, please amend.
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Re: Is quadrilateral q a rhombus? [#permalink] New post   25 Sep 2019, 00:58
For clarity. On the GMAT we don't differentiate between a square and a rhombus specifically?
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Re: Is quadrilateral q a rhombus? [#permalink] New post   25 Sep 2019, 01:09
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dcummins wrote:
For clarity. On the GMAT we don't differentiate between a square and a rhombus specifically?


We do.

A rhombus is a quadrilateral with all sides equal in length.
A square is a quadrilateral with all sides equal in length and all interior angles right angles.

Thus a rhombus is not a square unless the angles are all right angles.
A square however is a rhombus since all four of its sides are of the same length.

So, all squares are rhombi but not all rhombi are squares.
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Re: Is quadrilateral q a rhombus? [#permalink] New post   25 Sep 2019, 15:46
shouldn’t it be a parallelogram with equal sides rather than just quadrilateral.

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Re: Is quadrilateral q a rhombus? [#permalink] New post   14 Dec 2023, 07:33
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