document.write( "Question 1180165: In ABC, where A(1, 18), B( - 7, 4), and C(5, 0), determine whether the line segment joining the
\n" );
document.write( "midpoints of AB and AC are parallel to side BC. \n" );
document.write( "
Algebra.Com's Answer #809762 by mananth(16946)![]() ![]() You can put this solution on YOUR website! ![]() \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " |