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So, from the given data figure can be rhombus or sqare? and logically they are different figures. I have come across lots of rectangle and sqare problems causing same type of confusion but in those questions we look for exact specs.

[quote="willget800"]Well the official answer is D...

it could be either.. its from manhattan..

if the diagonals are perpendicular bisectors, then it is a square or rhombus.. and if all the sides are equal too, it is square and rhombus..

a tough one.. i did E orignally..

but then when i looked at it.. it makes sense rthe question already gives us the information that its a quadrilateral.. so its a 4 sided figure...[/quote]

Square is a very special quadrilateral. It can be seen as a special type of parallelogram, a special rectangle, and a special rhombus.

As for crossed quadrilaterals, I do not believe that it is possible that all of its sides are equal. Let's use the shape in the link you provided, ADBC. If AC=AD then angle ACD=angle ADC. If BC=BD, then angle BCD=angle BDC. However we also know that angle ACD < angle BCD and angle ADC > angle BDC. You can see that if the two angles in the right hand side are equal, then the angles in the left hand side can NOT be equal.
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