Proving Lines Parallel

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Presentation transcript:

Proving Lines Parallel For which of the theorems involving parallel lines and transversals is the converse true?

Example 1 Vertical Angles Transitive Property l || m Converse of corresponding angles theorem

Example 2 Given Vertical Angles Transitive Property Converse of corresponding angles ∠1 ≅ ∠5 l || m

Example 3 a || b, c || d Given Alternate Exterior Angles Alternate Interior Angles ∠1 ≅ ∠13 Transitive Property

Example 4 a || b Given Linear pair Alternate Interior Angles Substitution

Example 5 g || h, ∠1 ≅ ∠2 Given Corresponding angles Transitive Property p || r Converse of corresponding angles

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