Write the negation of the following statement:
Both the diagonals of a rectangle have the same length.
Both the diagonals of a rectangle have the same length.
(N/A) The given statement is: $P$: Both the diagonals of a rectangle have the same length.
The negation of a statement $P$ is denoted by $\sim P$.
The negation of the statement "Both the diagonals of a rectangle have the same length" is:
"It is false that both the diagonals of a rectangle have the same length."
Alternatively,this can be written as:
"There exists at least one rectangle whose diagonals do not have the same length."
The negation of a statement $P$ is denoted by $\sim P$.
The negation of the statement "Both the diagonals of a rectangle have the same length" is:
"It is false that both the diagonals of a rectangle have the same length."
Alternatively,this can be written as:
"There exists at least one rectangle whose diagonals do not have the same length."
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