SOLUTION: If a Quadrilateral is a parallelogram with perpendicular diagonals then its a rhombus??? True Or False??? PLease Explain why Though.

Question 175461: If a Quadrilateral is a parallelogram with perpendicular diagonals then its a rhombus???
True Or False??? PLease Explain why Though.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
true!!
:
A rhombus is actually just a special type of parallelogram. Recall that in a parallelogram each pair of opposite sides are equal in length. With a rhombus, all four sides are the same length.It therefore has all the properties of a parallelogram.
:
If the diagonals formed anything but 90 degree angles it would only be a parallelogram because we would not have equal sides
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