document.write( "Question 391009: Prove: if diagonal of a parallelogram bisects an angle of the parallelogram, then the parallelogram is a rhombus.(state plan and give proof)\r
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document.write( "Given: ABCD is a parallelogram with <1 congruent <@.\r
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document.write( "To prove: ABCD is a rhombus.\r
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document.write( "Plan:__________________?\r
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document.write( "i need help with the proofs and reasons...im not very good at this at all! thank youu so much\r
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document.write( "Heres a picture!
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document.write( "http://i1189.photobucket.com/albums/z426/cwallace2/Casey002.jpg \n" );
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Algebra.Com's Answer #277438 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! Since AD || BC, angle 1 = angle 3, so you can replace the \"3\" with a \"1.\" Also, since angle 2 = angle 1 (already given), AB = BC, and since AB = CD and BC = AD (the parallel sides of a parallelogram are congruent), all four sides are congruent to each other and it's a rhombus.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I almost never use the two-column proof when writing solutions to proof problems...it helps you back up each statement with a reason, but virtually no mathematicians use the two-column proof when explaining a proof(e.g. in a paper). \n" ); document.write( " |