SOLUTION: Given: Line AEB and Line CED bisect each other at E Prove: Line AC is parallel to Line BD

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          statement                     reason
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1. Line AEB and Line CED bisect         1. Given
   each other at Point E.
   

2. AE congruent BE                      2. Definition of Bisector
   DE congruent DE

3. angle BDE congruent CEA              3. Vertical angles are congruent

4.BED congruentAEC                  4. SAS

5.angle ACE congruent angle BDE         5.CPCTC

6.AC // BD                              6. converse alternate interior angles
   

SAS-Side Angle Side theorem
CPCTC=congruent parts of congruent  's are congruent