SOLUTION: given: triangle ABC and triangle EDC, C is the midpoint of line BD and line AE
Prove: line AB is parallel to line DE.
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-> SOLUTION: given: triangle ABC and triangle EDC, C is the midpoint of line BD and line AE
Prove: line AB is parallel to line DE.
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Question 252625: given: triangle ABC and triangle EDC, C is the midpoint of line BD and line AE
Prove: line AB is parallel to line DE. Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! STATEMENT 1: triangle ABC, triangle EDC
REASON 1: given
STATEMENT 2: C is midpoint of AE and C is midpoint AE
REASON 2: given
STATEMENT 3: CA ~ CB ~ CD ~ CE
REASON 3: definition of midpoint.
STATEMENT 4: angle DCE ~ angle BCA
REASON 4: definition of vertical angles.
STATEMENT 5: triangle DCE ~ triangle BCA
REASON 5: SAS
STATEMENT 6: DE ~ BA
REASON 6: CPCTC
STATEMENT 7: angle EDC ~ angle ABC
REASON 7: CPCTC
STATEMENT 8: line AB parallel to line DE
REASON 8: definition of parallel lines.
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