document.write( "Question 554928: determine whether quadrilateral MATH is a parallelogram, a rectangle, a rhombus, or a square given the vertices M (5,4), A (3, -6), T ( 0, -10), and H (2,0). Note: I keep coming up with an answer that doesn't make sense, the other problems, no problem. \n" ); document.write( "

Algebra.Com's Answer #361562 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Plot the points and draw the figure MATH:\r\n" );
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document.write( " M(5,4), A(3,-6), T(0,-10), H(2,0). \r\n" );
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document.write( "Lines are parallel if they have the same slope.  A parallelogram is\r\n" );
document.write( "a quadrilateral with both pairs of oposite sides parallel.\r\n" );
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document.write( "So we use the slope formula on all four sides.\r\n" );
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document.write( "m = \r\n" );
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document.write( "Slope of MA:   M (5,4), A (3,-6), \r\n" );
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document.write( "m =  =  = 5\r\n" );
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document.write( "Slope of TH:   T(0,-10), and H(2,0). \r\n" );
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document.write( "m =  =  = 5\r\n" );
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document.write( "So one pair of sides are parallel since both have slope 5.\r\n" );
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document.write( "Slope of MH:    M(5,4), H(2,0).\r\n" );
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document.write( "m =  =  = \r\n" );
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document.write( "Slope of AT:    A(3,-6), T(0,-10),\r\n" );
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document.write( "m =  =  =  = \r\n" );
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document.write( "So the other pair of sides are also parallel since both have slope .\r\n" );
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document.write( "So MATH is a parallelogram.\r\n" );
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document.write( "Edwin

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