document.write( "Question 1070634: If point A(6,1),B (8,2),C (8,4),D (p,3) are vertices of a parallelogram taken in order, find value of p \n" ); document.write( "
Algebra.Com's Answer #685702 by MathTherapy(10552)\"\" \"About 
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If point A(6,1),B (8,2),C (8,4),D (p,3) are vertices of a parallelogram taken in order, find value of p
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AB ∥ DC and BC ∥ AD\r\n" );
document.write( "BC is a VERTICAL line that's parallel to the y-axis, and parallel and congruent to AD. BC's length = 4 - 2, or 2\r\n" );
document.write( "AD is a VERTICAL line that's parallel to the y-axis, and parallel and congruent to BC. Points A and D will therefore have the SAME x-coordinate, which is 6.\r\n" );
document.write( "Therefore, p = 6.\r\n" );
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document.write( "OR\r\n" );
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document.write( "You can also see that AB and DC are parallel, and so, have the same slope. Slope of AB = \"matrix%281%2C5%2C+%281+-+2%29%2F%286+-+8%29%2C+or%2C+%28-+1%29%2F%28-+2%29%2C+or%2C+1%2F2%29\"\r\n" );
document.write( "DC's slope also = \"1%2F2\". \r\n" );
document.write( "To find p, we get: 
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