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Q: If the diagonals of a quadrilateral ... each other then the quadrilateral is a parallelogram?

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always

true

false

no

A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus

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True

True

true

always

diagonals.

False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

False

false

no

no

its rhombus.rectangle,square

Parallelogram and rhombus.

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