document.write( "Question 174950: Hello, I am a 10th grade and I really need help with this proof please. The question is triangle ACB. At point C, two lines are drawn. Point D and E. Which go on the same line of A and B, so points D and E are in between those two corners/points. I was just describing it, thats not the question.\r
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document.write( "The Given: angle CDE is congruent to angle CED, line AD is congruent to line EB.
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document.write( "I need to prove that angle ACD is congruent to angle BCE.\r
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document.write( "So far I drew that angle CDE is congruent to angle CED. I marked the triangle. and that AD is congruent to EB. I dont know where to start. Please help me.
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Algebra.Com's Answer #130016 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "***************************************************************************\r\n" ); document.write( " statement reason\r\n" ); document.write( "***************************************************************************\r\n" ); document.write( "\r\n" ); document.write( "1.angle CDE congruent to angle CED 1.Givens\r\n" ); document.write( " AD congruent to EB\r\n" ); document.write( "\r\n" ); document.write( "2.CDA + CDE = 180 2.Partition postulate\r\n" ); document.write( " CEB + CED = 180\r\n" ); document.write( "\r\n" ); document.write( "3.CDA+CDE = CEB+CED 3.transitive prop.\r\n" ); document.write( "\r\n" ); document.write( "4.CDE+CDE = CEB+CDE 4.substition prop(CDE congruent CED)\r\n" ); document.write( "\r\n" ); document.write( "5.CDE congruent CBE 5.subtraction prop.\r\n" ); document.write( "\r\n" ); document.write( "6.CD congruent to CE 6.corresponding sides and angles of \r\n" ); document.write( " isosceles triangle are congruent\r\n" ); document.write( "\r\n" ); document.write( "7.tri ACD congruent tri BCE 7.SAS\r\n" ); document.write( "\r\n" ); document.write( "8.ACD congruent BCE 8. CPCTC\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "partition post.-the whole is equal to the sum of the parts. \n" ); document.write( ": \n" ); document.write( "SAS- If two sides and the included angle of one triangle ar congruent \n" ); document.write( " to the correspoinding parts of another triangle then triangles are congruent \n" ); document.write( ": \n" ); document.write( "CPCTC- Corresponding parts of congruent triangles are congruent \n" ); document.write( " |