Write a two column proof:
Given: AD is parallel to BE, angle 1 is congruent to angle 2, angle 3 is congruent to angle 4.
Prove: DB is parallel to CE

Question

Write a two column proof:
Given: AD is parallel to BE, angle 1 is congruent to angle 2, angle 3 is congruent to angle 4.
Prove: DB is parallel to CE

anonymous · Answer

Please help I'll fan and medal!

anonymous · Answer

First draw two triangle: ABC and CDE that meet the questions criteria.
STATEMENT 1: triangle ABC and CDE
REASON 1: Given
STATEMENT 2: C is the midpoint of BD and AE
REASON 2: Given
STATEMENT 3: AC congruent CE ; BC congruent CD
REASON 3: definition of midpoint.
STATEMENT 4: angle BCA congruent angle DCE

 
REASON 4: definition of vertical angles
STATEMENT 5: triangle ABC congruent triangle EDC
REASON 5: SAS postulate
STATEMENT 6: angle ABC congruent angle EDC
REASON 6: CPTCTC
** step 6 is the key step **
STATEMENT 7: AB is parallel to ED
REASON 7: definition of alternate interior angles.

anonymous · Answer

Oh my gosh thank you so much!

anonymous · Answer

yup no prob