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Question 618344: 1. If a polygon has four sides, it is a quadrilateral.
2. If a polygon is not a quadrilateral, then it does not have four sides.
what is the relationship of the 2nd sentence to the 1st sentence? using conditional statements?
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website!
That's the contrapositive, which is equivalent to the initial statement.
Initial statement: If p, then q
(Equivalent) contrapositive: If not q, then p
(Non-equivalent) inverse: If not p, then not q
(Non-equivalent) converse: If q then p
The initial statement and its contrapositive are equivalent.
The initial statement and its inverse are NOT equivalent.
The initial statement and its converse are NOT equivalent.
The inverse and the converse are equivalent to each other but not
to the initial statement and its contrapositive.
Edwin
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