document.write( "Question 175013: I am a 10th grade in geometry. Please help me with this proof.\r
\n" ); document.write( "\n" ); document.write( "Given: rhombus ABCD, line DEF, line ABF, and E is the midpoint of line DF.
\n" ); document.write( "I have to prove that line AD is congruent to line BF.
\n" ); document.write( "I marked the diagram marking drawing line DE congruent to line EF.\r
\n" ); document.write( "\n" ); document.write( "From this point I dont know where to start. Please help me. \n" ); document.write( "
Algebra.Com's Answer #130115 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "            statement                            reason\r\n" );
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document.write( "1. rhombus ABCD                               1. Given\r\n" );
document.write( "   line DEF, line ABF\r\n" );
document.write( "   E is the midpoint of line DF\r\n" );
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document.write( "2. DE congruent to EF                         2. definition of midpoint\r\n" );
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document.write( "3. DC congruent to AD                         3. def. of rhombus\r\n" );
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document.write( "4. angle CDE congruent angle BFE              4. alternate interior angles\r\n" );
document.write( "                                                 transversal to  parallel line\r\n" );
document.write( "                                                 ABF and DC\r\n" );
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document.write( "5. BEF congruent to DEC                       5.opposite angles of intersecting\r\n" );
document.write( "                                                lines\r\n" );
document.write( "                                                                                                                                                            6.tri BFE and tri CDE congruent               6. ASA\r\n" );
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document.write( "7. DC congruent BF                            7. CPCTC\r\n" );
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document.write( "8. BF congruent AD                            8. transitive prop (statements \r\n" );
document.write( "                                                 3,7)\r\n" );
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\n" ); document.write( "\n" ); document.write( "ASA- angle side angle
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\n" ); document.write( "CPCTC congruent parts of congruent triangles are congruent
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