Which one of the given statements is correct

Statement 1

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Statement 3

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Statement 2

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Statement 4

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Solution

The correct option is D
Statement 4

Let us determine the truth of each statement one by one The statement

1.If the parallelogram is a rectangle, then the diagonals of the parallelogram are congruent , is not correct The statement

2.If the parallelogram is a rectangle, then the diagonals of the parallelogram are not congruent, is not correct The statement

3.If the diagonals of a parallelogram are congruent, then the parallelogram is not a rectangle, is not correct The statement

4.If the diagonals of a parallelogram are not congruent, then the parallelogram is not a rectangle, is correct Therefore , only Statement 4 , is correct .

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