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Quadrilateral only tells that is has 4 sides.That is all it tells.
Now (1) is not sufficient to tell if AC>BD because you can streatch D as far as you want still not disturbing the angle ABC and angle BCD.This makes BD sometimes can be longer than AC and sometimes shorter than AC(Assuming you fix the points (A,B,C).All you need is one scenario to prove given info is not sufficient.

I chose B initially thinking in haste (2) is sufficient by itself as I thought of only square meeting (2) requirements (bad me) but realized later rhombus also fits the criteria.All sides are same.For square,diagnals are equal but for rhomus dignals are differrent in lenght.So (2) is not sufficient by it self.

Now combinig (1) and (2) leaves only rhombus to fit the criteria where AC>BD. So C is correct.

Last edited by 700Plus on 22 Feb 2005, 09:38, edited 1 time in total.

My answer is C...from B you don't get jack...from B you get that it's a parallelogram but that could mean either AC>BD or BD>AC so then you have to find out where the larger and smaller angles are A provides that enabling you to figure out which one is bigger
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B says that all the sides are equal and that means it would have been a square if the angle would have been mentioned as 90. But the most important thing is it doesn't say anything about the angles. I don't know if a lot of people had that issue but when i first looked at the question i was like its a square then i realized that the angle wasn't mentioned. well anyways, (A) gives us the angle.. so together sufficient..

Diagonal drawn from the point of the larger angle is < diagonal drawn from smaller angle.
or diagonal opposite larger angle is larger than diag opp. smaller angle
C