document.write( "Question 479285: Prove that two parallel chords in a circle have congruent arcs.\r
\n" );
document.write( "\n" );
document.write( "I need help writing a formal proof to prove this... \n" );
document.write( "
Algebra.Com's Answer #328392 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "That is false. As you can see in the circle below, the green \r\n" ); document.write( "chord and the red chord are parallel. The green chord subtends the \r\n" ); document.write( "green arc and the red chord subtends the red arc, but obviously\r\n" ); document.write( "the green arc is longer than the red arc, so they cannot be\r\n" ); document.write( "congruent. Now, if two chords are congruent, they subtend\r\n" ); document.write( "congruent arcs, but not necessarily if they are parallel.\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |