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In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 07:18
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In Quadrilateral WXYZ, is XY perpendicular to YZ? (1) WXY is a right angle (2) WZY is a right angle
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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 07:28
I get D) Either is sufficient to answer they are not perpendicular.
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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 07:39
vikramm wrote: I get D) Either is sufficient to answer they are not perpendicular.
How do you conclude XY is not perpendicular to YZ, by either of those statements??
my answer is (C).
... oops, maybe not also!
Last edited by chets on 16 Sep 2005, 14:26, edited 1 time in total.



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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 10:05
E
get a piece of paper (rectangle), tear it along the diagnal line to get two right triangles. Try to make a quad with their two right sides  you will get any number of nonrectangle quad (with two 90degree corners)



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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 11:36
Precisely, E it is.
Sum of 4 angles of a quad is 360. Two being 90, we cant say anything about the remaining two.
Or
Follow qpoo's suggestions. easy visualization.



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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 14:40
mbassmbass04 wrote: In Quadrilateral WXYZ, is XY perpendicular to YZ?
(1) WXY is a right angle
(2) WZY is a right angle
I think i should be C. If two opposite angles are 90 degrees in a quad, it has to be rectangle.
What is OA?



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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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16 Sep 2005, 21:31
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Agree with qpoo now. understood my mistake. it must be E. thanks qpoo. that was a great help...
i have drawn a quadrilateral to prove that. hope it'll help. [/img]
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WXYZ.doc [19 KiB]
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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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17 Sep 2005, 10:59
It looks like the OA is E.
I personaly choose C first.
This is what is written in the answer...
If you choose to draw the quadrilateral, you must realize that you don't know whether it's regular shape as a parallelogram or whether it's a stranger shape, also when you label points do so clockwise. Statement 1 only tells about on angle so it's insufficient since the others could be anything. Statement 2 has the same problem. Together the statements don't resolve it because it could be a square or it could be a shape with angles 90,90,110 and 80 (try to draw this you will see its possible)



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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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23 Aug 2016, 21:57
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Let me spell it via a diagram:
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Re: In Quadrilateral WXYZ, is XY perpendicular to YZ? [#permalink]
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21 Sep 2017, 10:31
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