In Quadrilateral WXYZ, is XY perpendicular to YZ?

Question

(1) WXY is a right angle

(2) WZY is a right angle

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chetan2u · Answer

There are no restrictions on lengths or other two angles..
Now if two opposite angles, X and Z are 90 and if Y too is 90 then the quadrilateral is a rectangle. So the question can be said Is WXYZ a rectangle?
I) WXYZ can be a rectangle, then YES
2) WXYZ can be any quadrilateral but not a parallelogram, then NO

E

Please read perpendicular instead of ll in the figure.

unraveled · Answer

chetan2u 
Isn't as per the question X and Z are opposite to each other. And combining two statements means two opposite angles sum to 180 confirming that angles W and Y both are also 90 each.

Hence XY perpendicular to YZ.
Shouldn't answer be C.

Am i missing something.

chetan2u · Answer

No all angles need not be 90. A pair of Opposite angles are 90 but the other pair could be anything. You can even draw 1 and 179 degrees or 80 and 100 degrees as there is no restriction on the length of sides

unraveled · Answer

Thank you ..!! I got it. I presumed sides part and asked such a silly question.

stne · Answer

Gmat DS.png Lets look at the figures above: (1) WXY is a right angle - IF you look at Fig.1 Answer is NO IF you look at Fig.2 Answer is Yes INSUFF. (2) WZY is a right angle- IF you look at Fig.1 Answer is NO IF you look at Fig.2 Answer is Yes INSUFF. 1+2 IF you look at Fig.1 Answer is NO IF you look at Fig.2 Answer is Yes INSUFF. Ans- E

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In Quadrilateral WXYZ, is XY perpendicular to YZ?

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In Quadrilateral WXYZ, is XY perpendicular to YZ?

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