BC is parallel to DE is proved by the following statements
Statement Reason
1 ) AB is parallel to DC Given
2) ∠1≅∠2 Given
3) ∠1≅∠3 Alternate interior angles theorem
In the fourth statement , Replace angle 1 with angle 2
4) ∠2≅∠3 Congruence theorem
5) BC is parallel to DE Converse of alternate interior angle
theorem
Given :
AB is parallel to DC.
Angle 1 is congruent to angle 2.
Above two statements are already given
Statement Reason
1 ) AB parallel to DC Given
2) ∠1≅∠2 Given
3) ∠1≅∠3 Alternate interior angles theorem
In the fourth statement , Replace angle 1 with angle 2
4) ∠2≅∠3 Congruence theorem
5) BC is parallel to DE Converse of alternate interior angle
theorem
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