document.write( "Question 736910: the points (7,6) (-1,6) and (7,-2) are the vertices of a rectangle . find the coordinates of the fourth vertex. please help me understand this question. thanks
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Algebra.Com's Answer #450053 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! This problem is made a little easier by the \n" ); document.write( "fact that the line segments formed by the \n" ); document.write( "given points are horizontal and vertical.. \n" ); document.write( "I'll label the points: \n" ); document.write( "A( 7,6 ) \n" ); document.write( "B( -1,6 ) \n" ); document.write( "C( 7,-2 ) \n" ); document.write( "---------- \n" ); document.write( "Notice that the line formed by AB has the same \n" ); document.write( "y coordinate at both ends. This means that the \n" ); document.write( "line HAS to be horizontal. \n" ); document.write( "----------- \n" ); document.write( "Notice that the line formed by AC has the same \n" ); document.write( "x coordinate at both ends. This means that the \n" ); document.write( "line HAS to be vertical \n" ); document.write( "------------ \n" ); document.write( "The line formed by BC doesn't have either an \n" ); document.write( "x or a y that are the same, so this forms a \n" ); document.write( "diagonal. \n" ); document.write( "------------ \n" ); document.write( "BC has endpoints ( -1,6 ) and ( 7,-2 ) \n" ); document.write( "The y-coordinate of 6 and \n" ); document.write( "the x-coordinate of 7 are shared with the \n" ); document.write( "other 2 lines, so ( -1,-2 ) must be the new \n" ); document.write( "point. \n" ); document.write( "------------ \n" ); document.write( "You really should plot this on graph paper. \n" ); document.write( "It's the only way to see what's going on. \n" ); document.write( "You end up with a square that is 8 units \n" ); document.write( "on each side \n" ); document.write( " |