SOLUTION: Given: DB is not congruent to AC To prove: AB and CD do not bisect each other. {{{drawing(400,400,-6,6,-6,6, line(-4,4,4,5), line(-5,-4,5,-4), line(-4,4,5,-4), line(-5,-4,4,5)

Algebra ->  Geometry-proofs -> SOLUTION: Given: DB is not congruent to AC To prove: AB and CD do not bisect each other. {{{drawing(400,400,-6,6,-6,6, line(-4,4,4,5), line(-5,-4,5,-4), line(-4,4,5,-4), line(-5,-4,4,5)      Log On


   

Question 1150960: Given: DB is not congruent to AC
To prove: AB and CD do not bisect each other.
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!


1. Assume AB and CD bisect each other        | 1. Assumption for indirect proof
2. AE is congruent to BE                     | 2. E bisects AB
3. CE is congruent to DE                     | 3. E bisects CD
4. Angle AEC is congruent to angle BED       | 4. Opposite (vertical) angles
5. Triangle AEC is congruent to triangle BED | 5. SAS
6. DB is congruent to AC                     | 6. CPCT
7. DB is not congruent to AC                 | 7. Given
8. AB and CD do not bisect each other        | 8. 6 and 7 contradict assumption 1  

Edwin