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Mathematics 18 Online
OpenStudy (anonymous):

ABCD is a quadrilateral: AB =BC=CD=AD;

OpenStudy (anonymous):

Not necessarily.

OpenStudy (anonymous):

What is given here is a rhombus, which may or may not have right angles.

OpenStudy (anonymous):

then ABCD is a square....

OpenStudy (anonymous):

i mean if AB=BC=CD=DA and angleB=90deg, then the figure is a square

OpenStudy (anonymous):

True, but we are given only that the four sides are all the same length.

OpenStudy (anonymous):

it also says angleB is a right angle.....

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

What this all boils down to is this: all squares are rhombi, bue not all rhombi are squares.

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