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WARM UP

T. V. Given: <V ≅ <YRX <Y ≅ <TRV Prove: <V ≅ <Y **Two Column Proof. R. Y. X. WARM UP. T. V. Given: <V ≅ <YRX <Y ≅ <TRV Prove: <V ≅ <Y. R. Y. X. THE ANSWER!!. Advanced Geometry. Section 5.2 Proving lines are parallel.

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WARM UP

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  1. T V Given: <V ≅ <YRX <Y ≅ <TRV Prove: <V ≅ <Y **Two Column Proof R Y X WARM UP

  2. T V Given: <V ≅ <YRX <Y ≅ <TRV Prove: <V ≅ <Y R Y X THE ANSWER!!

  3. Advanced Geometry Section 5.2 Proving lines are parallel

  4. If two lines are cut by a transversal such that two alternate interior angles are congruent, then the lines are parallel. • Shortcut: Alt int || lines • If then l ||m. l 1 2 m Theorem

  5. Alt ext || lines If then l || m. 1 l m 8 Theorem

  6. Corresp || lines 1 If then l || m. l 5 m Theorem

  7. If two lines are cut by a transversal such that two interior angles on the same side of the transversal are supplementary, then the lines are parallel. • Same side int suppl || lines • If • then a|| b. a 3 5 b Theorem

  8. Same side ext <‘s supp => || lines. If are supp, then a||b. 1 a b 7 Theorem

  9. If two coplanar lines are to a 3rd line, then they are ||. If a c and b c, then a|| b. a b c Theorem

  10. Read Sample Problem 1 on p. 218 • Homework: p. 220 #4, 5, 8, 9, 13, 16, 20, 21, 24 **TEST Next Tuesday Index Cards due, too!!! (50) Homework

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