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3-5 Proving Lines Parallel

3-5 Proving Lines Parallel. Ms. Andrejko. Real World. Postulates and Theorems. Postulates 3.4 3.5 Theorems 3.5 3.6 3.7 3.8. Examples. Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer 1. ∠3 ≅ ∠7

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3-5 Proving Lines Parallel

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  1. 3-5 Proving Lines Parallel Ms. Andrejko

  2. Real World

  3. Postulates and Theorems • Postulates • 3.4 • 3.5 • Theorems • 3.5 • 3.6 • 3.7 • 3.8

  4. Examples • Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer 1. ∠3 ≅ ∠7 2. ∠9 ≅ ∠11 3. ∠2 ≅ ∠16 4. m∠5 + m∠12 = 180

  5. Practice • Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 1. m∠BCG + m∠FGC = 180 2. ∠CBF≅∠GFH 3. ∠EFB ≅∠FBC 4. ∠ACD ≅∠KBF

  6. Examples • Find x so that ℓ //m .

  7. Practice • Find x so that ℓ //m .

  8. Examples • Given: <1 and <2 are complementary, • Prove: BA // CD Given Angle Addition Post. Given Def. of Complementary Transitive Def. of Perpendicular Perp. Transversal Converse

  9. Practice • Given: <2 and <3 are supplementary • Prove: AB // CD <2&<3 are supplementary Consecutive Interior Angles Theorem Consecutive Interior Angles Converse

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