document.write( "Question 659038: Find a point D(x, y) such that the points
\n" ); document.write( "A(-3,0), B(4,-1), C(0,-4), and D
\n" ); document.write( "are the corners of a square. (If an answer does not exist, enter DNE.) \n" ); document.write( "
Algebra.Com's Answer #410629 by Edwin Parker(36)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "A(-3,0), B(4,-1), C(0,-4), and D\r\n" );
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document.write( "Let's plot them and see:\r\n" );
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document.write( "That looks like they could be corners of a square. Let's draw a couple \r\n" );
document.write( "of right triangles:\r\n" );
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document.write( "The blue right triangle and the green right triangle are congruent\r\n" );
document.write( "because they each have a side that's 3 units long and a side that's\r\n" );
document.write( "4 units. long.  So the hypotenuses are equal in length.  So there has \r\n" );
document.write( "to be a right angle at C(0,-4) because the angles at C(0,-4) are \r\n" );
document.write( "complementary. So what you have to do is to create another pair of\r\n" );
document.write( "right triangles congruent to each of those like the red one and the\r\n" );
document.write( "black one below.\r\n" );
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document.write( "And as you see, the point D has to be D(1,3)\r\n" );
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document.write( "Edwin
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