ToProve: if the diagonals of parallelograms are congruent, then the parallelogram is a rectangle.
Explanation of Solution
Given
The diagonals of a parallelogram are congruent.
Calculation:
Figure is made having diagonals AC and BD.
Here,
In
So,
Therefore, by CPCT
Using property of co-interior
Therefore, parallelogram ABCD is a rectangle.
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