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Elementary geometry
Transversal
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Theorem Hypothesis Conclusion Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 4 3 1 2 1 ? 8 7 6 5 P Q ?1 ? ?3 ?2 ? ?4 ?5 ? ?7 ?6 ? ?8 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. 22 1 4 3 ?1 ? ?3 ?2 ? ?4 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent. 5 6 8 7 ?5 ? ?7 ?6 ? ?8 Same-Side Interior Angles Theorem If two parallel lines are cut by a transversal, then the two pairs of same side interior angles are supplementary. 4 1 2 3

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