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ABCD is a quadrilateral: AB =BC=CD=AD;
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Not necessarily.
What is given here is a rhombus, which may or may not have right angles.
then ABCD is a square....
i mean if AB=BC=CD=DA and angleB=90deg, then the figure is a square
True, but we are given only that the four sides are all the same length.
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it also says angleB is a right angle.....
If any one angle of the rhombus is a right angle, then so are the other three. If one of the angles is not a right angle, then none of them is.
What this all boils down to is this: all squares are rhombi, bue not all rhombi are squares.
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