SOLUTION: Given: AB and CD bisects each other at M Prove: AD is parallel to BC Picture: Two triangles connecting to get, kind of like a bow tie.

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Question 257490: Given: AB and CD bisects each other at M
Prove: AD is parallel to BC
Picture: Two triangles connecting to get, kind of like a bow tie.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
STATEMENT 1: AB bisects CD at M
REASON 1:given
STATEMENT 2: AM congruent BM
REASON 2: definition of bisector
STATEMENT 3: CM congruent DM
REASON 3: definition of bisector
STATEMENT 4: angle CMB congruent angle AMD
REASON 4: definition of vertical angles
STATEMENT 5:triangle CMB congruent triangle AMD
REASON 5: SAS
STATEMENT 6: CB congruent AD
REASON 6: CPCTC
STATEMENT 7: angle CBM congruent angle DAM
REASON 7: CPCTC
STATEMENT 8: CB is parallel to AD
REASON 8: definition of parallel lines.