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sarahl
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x or y [#permalink] New post   Updated on: 27 Sep 2018, 09:11
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rectangle.jpg
rectangle.jpg [ 12.52 KiB | Viewed 2358 times ]


Quantity A
Quantity B
x
y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Hi there,

In Manhattan (Geometry section) there is the following question (attached file).

As you can see, there wasn't mentioned that this quadrilateral is a rectangular but when I checked the answer (C) I saw that it was considered as a rectangular! But I think it is not correct since referring to the geometry we know that just 2 angles are 90 and we are not sure about the other two angles. What is your idea?

Thanks
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Originally posted by sarahl on 27 Sep 2018, 07:52.
Last edited by Carcass on 27 Sep 2018, 09:11, edited 1 time in total.
Edited by Carcass
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Carcass
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Re: x or y [#permalink] New post   27 Sep 2018, 09:12
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Hi,

please follow the rules for posting on the board. It would be beneficial for all the students. The way you posted is not a good manner.

Thank you for your collaboration.

Moreover, which MGRE book are you referring to ??

Regards
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sarahl
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Re: x or y [#permalink] New post   27 Sep 2018, 09:30
Carcass wrote:
Hi,

please follow the rules for posting on the board. It would be beneficial for all the students. The way you posted is not a good manner.

Thank you for your collaboration.

Moreover, which MGRE book are you referring to ??

Regards

Sorry, and thank you for editing my post.

Manhattan GRE Geometry 2nd edition
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Carcass
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Re: x or y [#permalink] New post   29 Sep 2018, 23:45
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In the explanation, there is no mention as you pointed out of a rectangle.

However, mention or not the clue here are the right angle 90° and the fact that you do have a right triangle which is based on the triplet 30-60-90.

The clue you have juxtaposed is irrelevant, indeed.

Regards
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nhinguyen151
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Re: x or y [#permalink] New post   08 Dec 2021, 13:11
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saptadas1809
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Re: x or y [#permalink] New post   08 Dec 2021, 23:22
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Assuming that figure represents a rectangle.

then x+2y = 90, and since the diagonal bisects the angle, x = 2y
so, x > y

Ans = A

If two angles of a quadrilateral are 90 degrees, the other 2 angles must also be 90. No?
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harishsridharan
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x or y [#permalink] New post   13 Dec 2021, 19:30
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saptadas1809 wrote:
Assuming that figure represents a rectangle.

then x+2y = 90, and since the diagonal bisects the angle, x = 2y
so, x > y

Ans = A

If two angles of a quadrilateral are 90 degrees, the other 2 angles must also be 90. No?


\(x\) is not equal to \(2y\). \(x =y\). hence the answer is C.

X will be 30 since it follows \(1:\sqrt{3}:2\)
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