document.write( "Question 965887: Prove that a diagonal of a rhombus bisects each vertex angle through which it passes
\n" ); document.write( "Given: ABCD is a rhombus, AC is a diagonal
\n" ); document.write( "Statement: line AB in congruent to line BC
\n" ); document.write( "Angle 1 is congruent to angle 3
\n" ); document.write( "Line BC is II AC, AB is II to CD
\n" ); document.write( "<2 in congruent <3, <1 is congruent to <4
\n" ); document.write( "<1 is congruent to <2, <3 is congruent to <4
\n" ); document.write( "AC bisects \n" ); document.write( "I need help with the reasons for my statement, thank you \n" ); document.write( "
Algebra.Com's Answer #590348 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Given: Rhombus ABCD with diagonal AC\r\n" );
document.write( "To prove: ACF bisects ∠BAD and ∠BCD  \r\n" );
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document.write( " 1. AB ≅ CD            1. opposite sides of a parallelogram are congruent\r\n" );
document.write( " 2. BC ≅ AD            2. opposite sides of a parallelogram are congruent\r\n" );
document.write( " 3. AC ≅ AC            3. a line is congruent to itself.\r\n" );
document.write( " 4. ΔABC ≅ ΔADC        4. SSS 1,2,3\r\n" );
document.write( " 5. ∠1 ≅ ∠4            5. corresponding parts of congruent triangles.\r\n" );
document.write( " 6. ∠3 ≅ ∠2            6. corresponding parts of congruent triangles.\r\n" );
document.write( " 7. AB ≅ BC            7. definition of rhombus, all sides congruent.\r\n" );
document.write( " 8. ΔABC is isosceles  8. two sides congruent, 7\r\n" );
document.write( " 9. ∠1 ≅ ∠3            9. base angles of an isosceles triangle\r\n" );
document.write( "10. ∠1 ≅ ∠2           10. things congruent to the same thing are equal \r\n" );
document.write( "                          to each other, 6,9 11. AC bisects ∠ABD   11. from 10\r\n" );
document.write( "12. ∠3 ≅ ∠4           12. things congruent to the same thing are equal\r\n" );
document.write( "                          to each other, 5,9\r\n" );
document.write( "13. AC bisects ∠BCD   13. from 12 \r\n" );
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document.write( "Edwin
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