document.write( "Question 483117: Three vertices of a parallelogram have coordinates (-3,1), (1,4), and (4,3). Find the coordinates of the fourth vertex. How many possible answers are there? \n" ); document.write( "
Algebra.Com's Answer #330670 by Edwin McCravy(20056)\"\" \"About 
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(-3,1), (1,4), and (4,3).
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document.write( "There are three possible answers.  \r\n" );
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document.write( "Let's plot those three points:\r\n" );
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document.write( "One possible solution is a point below (4,3) and to the right of (-3,1).\r\n" );
document.write( "We observe that (4,3) is 3 units right of and 1 unit down from (1,4).\r\n" );
document.write( "So we locate a point 3 units to the right of and 1 unit down from (-3,1).\r\n" );
document.write( "So we add 3 to the x coordinate of (-3,1) and subtract 1 from its y-\r\n" );
document.write( "coordinate and we get the first solution as (0,0,) the origin.\r\n" );
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document.write( "A second possible solution is a point to the left of and above (-3,1).\r\n" );
document.write( "We observe that (1,4) is 3 units left of and 1 unit up from (4,3).\r\n" );
document.write( "So we locate a point 3 units to the left of and 1 unit up from (-3,1).\r\n" );
document.write( "So we subtract 3 from the x coordinate of (-3,1) and add 1 to its y-\r\n" );
document.write( "coordinate and we get one solution as (-6,2,) \r\n" );
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document.write( "A third possible solution is a point and to the right of (4,3) and above\r\n" );
document.write( "(1,4).  We observe that (1,4) is 4 units right of and 3 units up from (-3,1).\r\n" );
document.write( "So we locate a point 4 units to the right of and 3 units up from (4,3).\r\n" );
document.write( "So we add 4 to the x coordinate of (4,3) and add 3 from its y-\r\n" );
document.write( "coordinate and we get a third solution as (8,6) \r\n" );
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document.write( "Edwin
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