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by maihuna » Wed Jan 21, 2009 10:44 am
In the quadrilateral PQRS, side PS is parallel to side QR. Is PQRS a parallelogram?

(1) PS = QR

(2) PQ = RS
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by DanaJ » Wed Jan 21, 2009 11:35 am
I pretty sure that stmt 2 by itself is not sufficient, since I immediately thought of an isosceles trapezoid with PQ and SR as the un-parallel sides. But I cannot think of an explanation for why stmt 1 is enough.... Although I'm confident it has to do with the angles that the two parallel sides create with a digonal that, together with the lengths of the sides, make similar triangles...
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by sachinkr » Wed Jan 21, 2009 12:22 pm
IMO the ans is A

Given PQRS is qualilateral whose sides PQ || RS.
We need to find whether PQRS is a parallelogram?

A: PQ = SR, Sufficient (Condition for parallelogram is 2 opposite sides of quadilateal are parallel and equal)

B: PS = QR , not sufficient as mentioned by DanaJ.
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by Freedom007 » Wed Apr 29, 2009 7:49 am
but PQRS can very easily be a square and still satisfy statement (1) so why is the answer not E?
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by piyush_nitt » Wed Apr 29, 2009 3:14 pm
Freedom007 wrote:but PQRS can very easily be a square and still satisfy statement (1) so why is the answer not E?
Square is a ||gram.
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