document.write( "Question 31170: Hello! I've been asked by my teacher to solve the following proof:\r
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document.write( "Prove: If two parallel lines are cut by a transversal, then bisectors of corresponding angles are parallel.\r
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document.write( "I have tried this problem over and over but I cant seem to picture it. Therefore I'm having problems solving it. Please help! Thank You. \n" );
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Algebra.Com's Answer #18013 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! LET AB AND CD BE THE PARALLEL LINES.LET XY BE A TRANSVERSAL CUTTING AB AT P AND CD AT Q.LET EF BE THE BISECTOR OF ANGLE XPB AND GH THE BISECTOR OF ITS CORRESPONDING ANGLE XQD. \n" ); document.write( "CORRESPONDING ANGLES ARE EQUAL SO.. \n" ); document.write( "ANGLE XPB=ANGLE XQD....SINCE EF AND GH ARE THEIR BISECTORS....WE HAVE .... \n" ); document.write( "ANGLE XPF = ANGLE XPB/2 = ANGLE XQD/2 = ANGLE XQH....SO..... \n" ); document.write( "WE HAVE 2 LINES EF AND GH ,A TRANSVERSAL XPQY CUTS THEM AT P AND Q RESPECTIVELY. \n" ); document.write( "AND....ANGLE XPF = ANGLE XQH...WHICH ARE CORRESPONDING ANGLES . HENCE EF IS PARALLEL TO GH.SO THE BISECTORS OF CORRESPONDING ANGLES ARE PARALLEL. \n" ); document.write( " |