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Re: M1432
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05 Dec 2014, 21:14
Why does the angle determine the length of the diagonal?



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21 Jun 2015, 09:08
BunuelCould you please show a case in which AC is shorter or equal to BD according to statement 1? Having hard time seeing (kiteshaped as suggested) with obtuse angle BCD being less than angle ABC... Thank you!!



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06 Jan 2016, 12:17
me too :/ maybe someone wants to be really kind and draw it ....?



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12 Jan 2016, 04:35
in the figure, as per statement, the angles are different but you can see the lengths different.
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31 Jul 2016, 05:36
saran3129 wrote: in the figure, as per statement, the angles are different but you can see the lengths different. Hi Buneul, Could you please elaborate on the explanation. If 4 sides are equal in a rhombus, won`t it have equal diagonals? Cheers Balaji
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20 Mar 2017, 14:40
Bunuel, can you please explain the relationship between the measure of angles and the diagonals of a rhombus. In the figure above if angle ABC > angle BCD, how does that make the diagonal AC> diagonal BD?



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03 Jun 2017, 00:43
Hi Bunuel,
I have a doubt can't the first statement itself say that which diagonal is longer. If we are applying the property of triangle taking both the statements, can't it be taken individually.
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23 Jun 2017, 04:56
Please Bunuel may you elaborate on statement 1? Even with kite shaped figure i see that the bigger angle is opposite the biggest diagonal ? What is this i cant see? It must be something obvious but i posted since someone else had the same doubt before.. Thanks



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24 Jun 2017, 09:18
Bunuel wrote: Official Solution:
If points A, B, C, and D form a quadrilateral, is AC longer than BD?
Statement (1) by itself is insufficient. Imagine a kiteshaped figure with an obtuse angle on top. Statement (2) by itself is insufficient. S2 means that the quadrilateral is a rhombus. Statements (1) and (2) combined are sufficient. S2 means that the quadrilateral is a rhombus, while S1 tells us which diagonal of the rhombus is longer.
Answer: C BunuelA rhombus with equal sides means that the diagonals are equal. Choice B should be sufficient alone. Why do you consider it wrong?



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24 Jun 2017, 09:40
Mo2men wrote: Bunuel wrote: Official Solution:
If points A, B, C, and D form a quadrilateral, is AC longer than BD?
Statement (1) by itself is insufficient. Imagine a kiteshaped figure with an obtuse angle on top. Statement (2) by itself is insufficient. S2 means that the quadrilateral is a rhombus. Statements (1) and (2) combined are sufficient. S2 means that the quadrilateral is a rhombus, while S1 tells us which diagonal of the rhombus is longer.
Answer: C BunuelA rhombus with equal sides means that the diagonals are equal. Choice B should be sufficient alone. Why do you consider it wrong? Hi A Rhombus is a quadrilateral that has all 4 sides equal, but that does NOT necessarily mean that its diagonals will also be equal. Bunuel has already explained it in this thread by the means of a diagram before, please check. A Rhombus whose diagonals are made equal, then becomes a Square.



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07 Mar 2018, 22:54
can anyone please elaborate why statement A alone is not sufficient as we use property of triangle that larger angle will have opposite side larger which is conveyed by statement 1 and it straight away tell us AC>BD so answer must be A only because second statement tell us all sides equal then if its a square then we can say no and if its a rhombus then may be so insufficient please help he #bunuel Bunuel



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08 Mar 2018, 03:32
Bunuel wrote: rishabhmishra wrote: can anyone please elaborate why statement A alone is not sufficient as we use property of triangle that larger angle will have opposite side larger which is conveyed by statement 1 and it straight away tell us AC>BD so answer must be A only because second statement tell us all sides equal then if its a square then we can say no and if its a rhombus then may be so insufficient please help he #bunuel BunuelAC and BC are NOT in the same triangle so you cannot apply this property here. You can check the diagram above which shows this clearly: https://gmatclub.com/forum/m14184027.html#p1875155THANKS a lot sir










