document.write( "Question 256338: Triangle DEG has the coordinates D(-1,1), E(5,-1) and G(4,5) Triangle DEG is rotated 90degrees about the origin to form triangleD'E'G'. State the coordinates of the vertices D', E', and G'. \n" ); document.write( "
Algebra.Com's Answer #188612 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Triangle DEG has the coordinates D(-1,1), E(5,-1) and G(4,5) Triangle DEG is rotated 90 degrees about the origin to form (triangle)D'E'G'. State the coordinates of the vertices D', E', and G'. \n" ); document.write( " \r\n" ); document.write( "You didn't state whether the rotation is clockwise or counter-clockwise,\r\n" ); document.write( "so I'll do it both ways:\r\n" ); document.write( "\r\n" ); document.write( "Here are the rules:\r\n" ); document.write( "\r\n" ); document.write( "1. To rotate a point 90° CLOCKWISE about the origin,\r\n" ); document.write( "Change the sign of the FIRST coordinate, then swap them.\r\n" ); document.write( "\r\n" ); document.write( "2. To rotate a point 90° COUNTER-CLOCKWISE about the origin,\r\n" ); document.write( "Change the sign of the SECOND coordinate, then swap them.\r\n" ); document.write( "\r\n" ); document.write( "-----------------------------\r\n" ); document.write( "\r\n" ); document.write( "If you want to rotate the triangle 90° CLOCKWISE, follow\r\n" ); document.write( "rule 1:\r\n" ); document.write( "\r\n" ); document.write( "D(-1,1) --> D'(1,1) \r\n" ); document.write( "E(5,-1) --> E'(-1,-5)\r\n" ); document.write( "G(4,5) --> F'(5,-4)\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |