document.write( "Question 594096: Please HELP Me! I have a coordinate proof problem with isoceles trapezoid. It is on a coordinate plane with the longest side facing up. the bottom leftcorner is S with points of(a,0) the bottom right is T with points of (b,0) The top RIGHT is W (?,c) The top LEFT is touching the y axis and is Y with (?,?)Find the question marks. P.S. the S and T Points are also touching the x axis HELP!!! PLEASE!!! \n" ); document.write( "
Algebra.Com's Answer #376610 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "\n" ); document.write( "The point Y must be the same distance above the x axis as the \n" ); document.write( "point W(?,c). So the y-coordinate of Y must be the same as the \n" ); document.write( "y-coordinate of W, so it is c also. Also since Y is on the y-axis \n" ); document.write( "its x-coordinate must be 0. So now we have:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The origin is directly underneath Y, and S is \"a\" units right \n" ); document.write( "of the origin. Therefore by symmetry, a point on the x-axis \n" ); document.write( "directly underneath W must be \"a\" units to the right of T(b,0), \n" ); document.write( "So the point on the x-axis directly underneath W must be Z(b+a,0). \n" ); document.write( "Let's draw in that point:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since W is directly above Z, W must have the same x-coordinate as Z, \n" ); document.write( "so the coordinates of W are (b+a,c), So we have:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Edwin \n" ); document.write( " |