document.write( "Question 969073: Given: rhombus ABCD, E is the midpoint of DF\r
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Algebra.Com's Answer #592067 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "≅∥∠Δ∽⊥\r\n" );
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document.write( "Given: rhombus ABCD, E is the midpoint of DF\r\n" );
document.write( "PROVE: AD is congruent to BF\r\n" );
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document.write( "1.  AD∥BC       Opposite sides of parallelogram ABCD are ≅\r\n" );
document.write( "2. ∠A≅∠EBF     Corresponding angles, ∥ lines AD,BC cut by transversal AF.\r\n" );
document.write( "3. ∠A≅∠C       Opposite angles of parallelogram ABCD are ≅\r\n" );
document.write( "4. ∠C≅∠EBF     Angles ≅ same angle are ≅ to each other, 2,3\r\n" );
document.write( "5. EF≅ED        Given that E is the midpoint of DF\r\n" );
document.write( "6. AB∥CD        Opposite sides of parallelogram ABCD are ≅ \r\n" );
document.write( "7. AF∥CD        AF is an extension of AB, 6 \r\n" );
document.write( "8. ∠BFE≅∠CDE   Alternate interior angles,∥ lines AF,CD cut by transversal DF. \r\n" );
document.write( "9. ΔEBF≅ΔECD    AAS, 4,8,5\r\n" );
document.write( "10. BF≅CD       CPCT, 9\r\n" );
document.write( "11. CD≅AD       All sides of rhombus ABCD are ≅\r\n" );
document.write( "12. AD≅BF       Things ≅ same thing are ≅ to each other, 10,11\r\n" );
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document.write( "Edwin

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