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

Question 178370: Given: Line AEB and Line CED bisect each other at E
Prove: Line AC is parallel to Line BD

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!

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

*************************************************************************** statement reason *************************************************************************** 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

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