9.1-9.2 - Copy - Chapter 9 Parallel Lines in a Plane...

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Chapter 9 – Parallel Lines in a Plane (9-1/9-2 Conditions Which Guarantee Parallelism) A) What can happen between two lines? B) Definition a. Two lines are skew lines if they do not lie in the same plane. b. Two lines are parallel if i. They are coplanar and ii. They do not intersect c. If we are given CD ll AB , we may also write (12 cases) i. ii. iii. iv. v. vi. C) Theorem 9-1 a. Two parallel lines lie in exactly one plane
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D) Theorem 9-2 a. In a plane, if two lines are both perpendicular to the same line, then they are parallel E) Theorem 9-3 Existence of Parallels a. Let L be a line and let P be a point not on L. Then there is at least one line through P, parallel to L. i. F) Definition a. Transversal i. A transversal of two coplanar lines is a line which intersects them in two different points b. Alternate Interior Angles
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i. Given two lines L and R, cut by a transversal T at points P and Q. Let A be a point of L and let B be a point of R, such that A and B lie on opposite sides of
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9.1-9.2 - Copy - Chapter 9 Parallel Lines in a Plane...

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