ToProve: if the diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus..
Explanation of Solution
Given
The diagonals of parallelograms are perpendicular.
Proof:
Figure is made having diagonals AC and BD.
In
So,
Therefore, by CPCT
Opposite sides are congruent in parallelogram.
Therefore, parallelogram ABCD is rhombus.
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