If the contrapositive of a statement is true, what do you know about the original statement?

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The original statement must be true.

The original statement must be false.

Not enough information

2007-09-19 11:04:51 · 3 answers · asked by Mike H 2 in Science & Mathematics ➔ Mathematics

Then it's true too. A statement and its contrapositive are always either both true or both false.

2007-09-19 11:11:47 · answer #1 · answered by Anonymous · 0⤊ 0⤋

The original statement is true. A statement and its cotrapositive are logically equivalent.

2007-09-19 18:15:00 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋

The original statement must be true.
That's a handy way of proving theorems.

2007-09-19 18:16:00 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋