Proving Lines Parallel

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Proving Lines Parallel http://teachers.henrico.k12.va.us/math/igo/02PerpendicularParallel/2_5.html

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Proving Lines Parallel

  1. 1. Lesson 2 - 5 Proving Lines Parallel Lesson 2-5: Proving Lines Parallel
  2. 2. Proving Lines Parallel - Postulates & Theorems <ul><li>If two lines are cut by a transversal and corresponding angles are congruent , then the lines are parallel. </li></ul>Lesson 2-5: Proving Lines Parallel
  3. 3. Proving Lines Parallel - Postulates &Theorems <ul><li>If two lines are cut by a transversal and alternate interior angles are congruent , then the lines are parallel. </li></ul>Lesson 2-5: Proving Lines Parallel
  4. 4. Proving Lines Parallel - Postulates &Theorems <ul><li>If two lines are cut by a transversal and consecutive interior angles are supplementary , then the lines are parallel. </li></ul>Lesson 2-5: Proving Lines Parallel
  5. 5. Proving Lines Parallel - Postulates &Theorems <ul><li>If two lines are cut by a transversal and consecutive exterior angles are supplementary , then the lines are parallel. </li></ul>Lesson 2-5: Proving Lines Parallel
  6. 6. Examples: Proving Lines Parallel <ul><li>Find the value of x which will make lines a and lines b parallel. </li></ul>Lesson 2-5: Proving Lines Parallel 4. 20° Answers: 1. 20° 2. 50° 3. 90° 2. 1. 3. 4.
  7. 7. Ways to Prove Two Lines Parallel <ul><li>Show that corresponding angles are equal. </li></ul><ul><li>Show that alternative interior angles are equal. </li></ul><ul><li>Show that consecutive interior angles are supplementary. </li></ul><ul><li>Show that consecutive exterior angles are supplementary. </li></ul><ul><li>In a plane, show that the lines are perpendicular to the same line. </li></ul>Lesson 2-5: Proving Lines Parallel

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