document.write( "Question 1180246: A triangle has the vertices of A(1, 18), D( - 7, 4), and C(5, 0). B and E are the midpoints of AC and AD respectively.\r
\n" ); document.write( "\n" ); document.write( "a) Provide a labelled diagram for the triangle and lines above (2M).\r
\n" ); document.write( "\n" ); document.write( "b) Using analytical geometry calculations, determine if the line segments BE and CD are parallel (show all formulas and work)
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Algebra.Com's Answer #809895 by mananth(16946)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Calculate mid point of AB and AC\r
\n" ); document.write( "\n" ); document.write( "x=(-1+7)/2 =-3
\n" ); document.write( "y= (18+4)/2 =11\r
\n" ); document.write( "\n" ); document.write( "slope of EF
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "-3 11 3 9
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( 9 - 11 )/( 3 - -3 )
\n" ); document.write( "( -2 / 6 )
\n" ); document.write( "m= -0.33 \r
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\n" ); document.write( "\n" ); document.write( "slope of BC\r
\n" ); document.write( "\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "-7 4 5 0
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( 0 - 4 )/( 5 - -7 )
\n" ); document.write( "( -4 / 12 )
\n" ); document.write( "m= -0.33 \r
\n" ); document.write( "\n" ); document.write( "slope EF equal to slope BC
\n" ); document.write( "so EF parallel to BC
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