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Geometry CP, Oct 3 Parallel Lines and Transversals Book Section: 3-1 Essential Question: What are parallel lines, skew lines, and transversals and how can I use them? Standards: G-1.2, G-1.3, G-1.5, G-1.7, G-1.8 Basic Definitions • Parallel lines – Coplanar lines that do not intersect. • Parallel planes – Planes that do not intersect • Skew lines – Lines that do not intersect and are not coplanar • Transversal – A line that intersects two or more coplanar lines at two different points. Example – Parallel Lines Notation Transversal You are told lines are parallel, or that fact is indicated by ‘arrows.’ Never assume that lines are parallel. Example – Parallel Planes & Skew Lines Examples All segments parallel to JP A segment skew to KL A plane parallel to PQR A plane parallel to JLR Transversal Angle Relationships When two lines are intersected by a transversal, a myriad of angle relationships are formed: • Interior angles • Exterior angles • Consecutive interior angles • Alternate interior angles • Alternate exterior angles • Corresponding angles Transversal Angle Relationships Definitions and examples: Examples Examples More Examples Name the relationship between each pair of angles: 1) 2 and 6 5) 4 and 7 2) 3 and 5 3) 3 and 8 4) 1 and 7 Examples Classwork: Text p. 176, 13-15, 31-36 Homework: HW Due 10 5, 1-20