Statement
If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal, then the two lines are parallel.
Given:
Transversal EFGH intersects lines AB and CD such that a pair of alternate E are equal.
To prove:
AB||CD
Proof:
( Given)
(Vertically opposite angles)
(corresponding angles)
AB||CD ( corresponding angles
axiom)
