Write the negation of the following statement and check whether the resulting statement is true:
There does not exist a quadrilateral which has all its sides equal.
There does not exist a quadrilateral which has all its sides equal.
(N/A) The negation of the statement is:
It is not the case that there does not exist a quadrilateral which has all its sides equal.
This is equivalent to the statement:
There exists a quadrilateral which has all its sides equal.
This statement is true because a square is a quadrilateral that has all its four sides equal.
It is not the case that there does not exist a quadrilateral which has all its sides equal.
This is equivalent to the statement:
There exists a quadrilateral which has all its sides equal.
This statement is true because a square is a quadrilateral that has all its four sides equal.
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