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Is quadrilateral q a rhombus?

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Is quadrilateral q a rhombus?  [#permalink]

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New post 29 Nov 2012, 11:06
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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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Re: Is quadrilateral q a rhombus?  [#permalink]

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New post 30 Nov 2012, 03:01
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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]

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New post 01 Dec 2012, 15:14
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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Is quadrilateral q a rhombus?  [#permalink]

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New post Updated on: 06 Sep 2017, 19:58
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, 18:56.
Last edited by Nunuboy1994 on 06 Sep 2017, 19:58, edited 1 time in total.
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Re: Is quadrilateral q a rhombus?  [#permalink]

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New post 15 Mar 2017, 01:06
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]

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New post 09 Nov 2018, 23:35
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? &nbs [#permalink] 09 Nov 2018, 23:35
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