document.write( "Question 258010: 
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document.write( "Given AD = AE, ∠ADE = ∠C\r\n" );
document.write( "Prove: DE ∥ BC\r\n" );
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Algebra.Com's Answer #189880 by Edwin McCravy(20063)\"\" \"About 
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document.write( "Given AD = AE, ∠ADE = ∠C\r\n" );
document.write( "Prove: DE ∥ BC\r\n" );
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document.write( "1. AD = AE                1. Given\r\n" );
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document.write( "2. ∆ADE is isosceles      2. Two sides equal\r\n" );
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document.write( "3. ∠ADE = ∠AED           3. Base angles of isosceles ∆ADE are equal\r\n" );
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document.write( "4. ∠ADE = ∠C             4. Given\r\n" );
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document.write( "5. ∠AED = ∠C             5. Angles equal to the same angle\r\n" );
document.write( "                            are equal to each other. (Transitive\r\n" );
document.write( "                            property of equivalence) (3 and 4)  \r\n" );
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document.write( "6. DE ∥ BC                6. Corresponding angles when transversal\r\n" );
document.write( "                            AC cuts DE and BC\r\n" );
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document.write( "Edwin
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