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Lesson 3-4 Proving lines parallel,

Lesson 3-4 Proving lines parallel,. Postulates and Theorems. Postulate 3-4 – If two lines in a plane are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

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Lesson 3-4 Proving lines parallel,

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  1. Lesson 3-4 Proving lines parallel,

  2. Postulates and Theorems • Postulate 3-4 – If two lines in a plane are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. • Postulate 3-5 – If there is a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line • Theorem 3-5 - If two lines in a plane are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.

  3. Postulates and Theorems • Theorem 3-6 - If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles are supplementary, then the lines are parallel • Theorem 3-7 - If two lines in a plane are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel • Theorem 3-8 – In a plane, if two lines are perpendicular to the same line, then they are parallel.

  4. l S V p (3x – 4)° U T B (12x – 11)° Notes • Find the value of x and

  5. l S V p (9x – 11)° U T B (8x +4)° Notes • Find the value of x and

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