document.write( "Question 163037: A(-2,0) B(0,2) C(2,0) D(0,-2) prove ABCD is equilateral \n" ); document.write( "
Algebra.Com's Answer #120146 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! I'll give you a hint to get you started.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An equilateral polygon is simply a polygon with equal sides. So to prove that ABCD is equilateral, simply prove that the distance from A to B equals the distance from B to C. Then prove that the distance from B to C is equal to the distance from C to D. Finally prove that the distance from C to D is equal to the distance from D to A. In other words, show that\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB=BC \n" ); document.write( "BC=CD \n" ); document.write( "CD=AD \n" ); document.write( "AD=AB\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This will also show that AB=CD, CD=AB, etc (but this info is not needed)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Once you have done all of this, you can conclude that ABCD is equilateral since it has 4 equal sides. \n" ); document.write( " |