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document.write( "Determine the point A(x,y) so that the point A(x,y), B(0,3), C(1,0), D(7,2)\r\n" );
document.write( "will be the vertices of a parallelogram. The answer is multiple choice, \r\n" );
document.write( "a. A(-6,1)\r\n" );
document.write( "b. A(3,7)\r\n" );
document.write( "c. A(5,6)\r\n" );
document.write( "d. A(6,5)\r\n" );
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document.write( "Plot the three given points:\r\n" );
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document.write( "Suppose you connect them as above. Then notice\r\n" );
document.write( "that to go from point C to point B, you have\r\n" );
document.write( "to travel 1 unit left to (0,0) and then travel \r\n" );
document.write( "3 units up to B. Therefore, to go from D to A,\r\n" );
document.write( "you must do the same. That is, you must travel\r\n" );
document.write( "left 1 unit left to (6,2), and then travel up \r\n" );
document.write( "3 units to A, So A's x-coordinate is 1 less \r\n" );
document.write( "than D's, and A's y-coordinate in 3 more than\r\n" );
document.write( "D's. So A is (6,5). That is choice (d).\r\n" );
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document.write( "
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document.write( "That is the answer, but I though I might add \r\n" );
document.write( "that if you connect the three given points \r\n" );
document.write( "another way, like this:\r\n" );
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document.write( "
\r\n" );
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document.write( "then there is another possible solution. \r\n" );
document.write( "To get it, you notice\r\n" );
document.write( "that to go from point B to point C, you have\r\n" );
document.write( "to travel 3 units down to (0,0) and then travel \r\n" );
document.write( "1 unit right to B. Therefore, to go from D to A,\r\n" );
document.write( "you must do the same. That is, you must travel\r\n" );
document.write( "3 units down to (7,-1), and then travel right \r\n" );
document.write( "3 unit to A, So A's y-coordinate is 3 less \r\n" );
document.write( "than D's, and A's x-coordinate in 1 more than\r\n" );
document.write( "D's. So A is (8,-1). That was not one of the\r\n" );
document.write( "choices, but it could have been.\r\n" );
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document.write( "
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document.write( "Believe it or not there is still another solution!!! Can you\r\n" );
document.write( "figure out where it would be? (Hint: you'd need to extend the\r\n" );
document.write( "graph on the left side.)\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
