Alternate Interior Angles Theorum Proof

Alternate Interior Angles Theorum: If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

Given: Alternate Exterior Angles a b with transversal t

Statements/Conclusion Justification

1) a b with transversal t 1) Given

2) 2 is congruent to 6 2) Parallel Lines Postulate

3) 4 2 3) Vertical Angle Theorum

4) 4 6 4) Transitive Property

- Jaime III
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