document.write( "Question 1186350: Could you please help me write an INDIRECT PROOF for this problem?\r
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Algebra.Com's Answer #817315 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "Assume BC is not congruent to DC.\r\n" ); document.write( "\r\n" ); document.write( "1. AB ≅ AD | given\r\n" ); document.write( "2. ∠BAC ≅ ∠DAC | given\r\n" ); document.write( "3. AC ≅ AC | reflexive property of equality\r\n" ); document.write( "4. △BAC ≅ △DAC | Side-angle-side (SAS)\r\n" ); document.write( "5. BC ≅ DC | Corresponding parts of congruent triangles. (CPCT) \r\n" ); document.write( "6. BC ≅ DC | 5 contradicts the assumption that BC is not congruent to DC.\r\n" ); document.write( "\r\n" ); document.write( "Notice: the theorem was not proved at step 5, because 5 was deduced under the\r\n" ); document.write( "assumption BC is not congruent to DC. The theorem was not proved there. It was\r\n" ); document.write( "only proved by the statement 6 that the assumption leads to a contradiction.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |