document.write( "Question 650170: use slopes to show that the quadrilateral whose vertices are (1.-1), (4,1),(2,2), and (5,4) is a parallelogram \n" ); document.write( "
Algebra.Com's Answer #407204 by sachi(548)\"\" \"About 
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let the vertices of a quadrilateral are A(1.-1), B(4,1),C(2,2), and D(5,4)
\n" ); document.write( "then slope AB=[1-(-1)]/[4-1]=2/3
\n" ); document.write( "slope CD=[4-2]/[5-2]=2/3
\n" ); document.write( "so AB parallel to CD
\n" ); document.write( "now
\n" ); document.write( "slope AC=[2-(-1)]/[2-1]=3
\n" ); document.write( "slope BD=[4-1]/[5-4]=3
\n" ); document.write( "so AC parallel to BD
\n" ); document.write( "so ABCD is a parallelogram
\n" ); document.write( "ans
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