document.write( "Question 1129802: Prove that the points A(-2,-3), B(6,2), C(8,7) and D(0,2) are the vertices of a parallelogram. \n" ); document.write( "
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\n" ); document.write( "Slope of AB: (2-(-3)) / (6-(-2)) = 5/8
\n" ); document.write( "Slope of CD: (2-7) / (0 - 8) = -5/-8 = 5/8

\n" ); document.write( "So AB is parallel to CD
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\n" ); document.write( "\n" ); document.write( "Slope of AD: (2-(-3)) / (0-(-2)) = 5/2
\n" ); document.write( "Slope of BC: (7-2) / (8-6) = 5/2
\n" ); document.write( "So AD is parellel to BC
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\n" ); document.write( "\n" ); document.write( "Since AB || CD and AD || BC, ABCD forms a parallelogram. ∎\r
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