document.write( "Question 618344: 1. If a polygon has four sides, it is a quadrilateral.\r
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document.write( "2. If a polygon is not a quadrilateral, then it does not have four sides.\r
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document.write( "what is the relationship of the 2nd sentence to the 1st sentence? using conditional statements? \n" );
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Algebra.Com's Answer #388831 by Edwin McCravy(20060) You can put this solution on YOUR website! \r\n" ); document.write( "That's the contrapositive, which is equivalent to the initial statement.\r\n" ); document.write( "\r\n" ); document.write( "Initial statement: If p, then q\r\n" ); document.write( "\r\n" ); document.write( "(Equivalent) contrapositive: If not q, then p\r\n" ); document.write( "\r\n" ); document.write( "(Non-equivalent) inverse: If not p, then not q\r\n" ); document.write( "\r\n" ); document.write( "(Non-equivalent) converse: If q then p\r\n" ); document.write( "\r\n" ); document.write( "The initial statement and its contrapositive are equivalent.\r\n" ); document.write( "\r\n" ); document.write( "The initial statement and its inverse are NOT equivalent.\r\n" ); document.write( " \r\n" ); document.write( "The initial statement and its converse are NOT equivalent.\r\n" ); document.write( "\r\n" ); document.write( "The inverse and the converse are equivalent to each other but not\r\n" ); document.write( "to the initial statement and its contrapositive.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |