document.write( "Question 1127887: [Quadrilateral] If the oppisite sides of a quadrilateral are use parallel, then it is a parallelogram. Use slopes to determine wheather the points (-6,1),(-2,-1),(0,3), and (4,1) are the vertices of a parallelogram. \n" ); document.write( "
Algebra.Com's Answer #744355 by josmiceli(19441) You can put this solution on YOUR website! A( -6,1 ) \n" ); document.write( "B( -2,-1 ) \n" ); document.write( "C( 0,3 ) \n" ); document.write( "D( 4,1 ) \n" ); document.write( "--------------- \n" ); document.write( "slope AB = ( 1 -(-1) ) / ( -6 -(-2) ) \n" ); document.write( "slope AB = 2/(-4) \n" ); document.write( "slope AB = -1/2 \n" ); document.write( "----------------------- \n" ); document.write( "slope BC = ( 3 -(-1) ) / ( 0 -(-2) ) \n" ); document.write( "slope BC = 4/2 \n" ); document.write( "slope BC = 2 \n" ); document.write( "----------------------- \n" ); document.write( "slope AC = ( 3 - 1 ) / ( 0 -(-6) \n" ); document.write( "slope AC = 2/6 \n" ); document.write( "slope AC = 1/3 \n" ); document.write( "----------------------- \n" ); document.write( "slope BD = ( 1 -(-1) ) / ( 4 -(-2) ) \n" ); document.write( "slope BD = 2/6 \n" ); document.write( "slope BD = 1/3 \n" ); document.write( "----------------------- \n" ); document.write( "slope AD = ( 1 - 1 ) / ( 4 -(-6) \n" ); document.write( "slope AD = 0 \n" ); document.write( "----------------------- \n" ); document.write( "slope CD = ( 1 - 3 ) / ( 4 - 0 ) \n" ); document.write( "slope CD = -2 / 4 \n" ); document.write( "slope CD = -1/2 \n" ); document.write( "---------------------- \n" ); document.write( "There are 1 pair of parallel lines with slope = -1/2 \n" ); document.write( "Also, there are 1 pair of parallel lines with slope = 1/3 \n" ); document.write( "So it is a parallelogram, and the lines BC and AD \n" ); document.write( "must be the diagonals\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |