Parallel Lines Theorems and Proofs
Explore the concepts of parallel lines with theorems, proofs, and practical problem solving. Covering topics such as corresponding angles, interior angles, algebraic methods, and more for a comprehensive learning experience.
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Presentation Transcript
3-3 Proving Lines Parallel
Converse of the Corresponding Angles Theorem Theorem: If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel
Converse of the Alternate Interior Angle Theorem If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel
Converse of the Same-Side Interior Angle Postulate If two lines and a transversal form same- side interior angles that are supplementary, then the two lines are parallel
Converse of the Alternate Exterior Angle Theorem If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel
Problem 3: Determining Whether Lines are Parallel 32 1
