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.

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.
RELATED QUESTIONS
given: congruent triangle abc and congruetnt triangle edc, c is the midpoint of line bd... (answered by richwmiller)

How would you write the two column proof for a problem that states the following: Given:... (answered by drk)

how do you do a proof that has a given:triangle ABC and triangle EDC, C is the midpoint... (answered by richard1234)

Given triangle ABC , perpendicular BED , line AB equal and congruent to line CB and D is... (answered by LinnW)

write reasons for the statments of the proof. Given: B is the midpoint of (line over)... (answered by jerryguo41)

I have two problems that I need help: Problem #1: Prove triangle ABC is congruent... (answered by venugopalramana)

What is the length of line AE if line BD is parallel to line AE and line BD is a... (answered by Theo)

Given: E is the midpoint of line segment AC and line segment BD Prove: line segment AB... (answered by ikleyn)

Given that Line segment AE is parallel to segment BD and angle 2 is congruent to angle 3, (answered by ikleyn)